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Finding the Fourth Proportional to 661,722.60, 992,583.90 and 409,780.20

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Solution

The fourth proportional to 661,722.60, 992,583.90 and 409,780.20 is: 614,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,722.60 : 992,583.90 = 409,780.20 : x
  2. Step 2: Convert to fraction form
    661,722.60/992,583.90 = 409,780.20/x
  3. Step 3: Cross multiply
    661,722.60x = 992,583.90 × 409,780.20
  4. Step 4: Simplify right side
    661,722.60x = 406,741,229,058.78
  5. Step 5: Solve for x
    x = 406,741,229,058.78/661,722.60
  6. Step 6: Final answer
    x = 614,670.30

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.