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Finding the Fourth Proportional to 409,370.40, 614,055.60 and 390,999.60

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Solution

The fourth proportional to 409,370.40, 614,055.60 and 390,999.60 is: 586,499.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,370.40 : 614,055.60 = 390,999.60 : x
  2. Step 2: Convert to fraction form
    409,370.40/614,055.60 = 390,999.60/x
  3. Step 3: Cross multiply
    409,370.40x = 614,055.60 × 390,999.60
  4. Step 4: Simplify right side
    409,370.40x = 240,095,493,977.76
  5. Step 5: Solve for x
    x = 240,095,493,977.76/409,370.40
  6. Step 6: Final answer
    x = 586,499.40

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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.