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Finding the Fourth Proportional to 210,343.20, 315,601.20 and 77,287.20

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Solution

The fourth proportional to 210,343.20, 315,601.20 and 77,287.20 is: 115,962.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,343.20 : 315,601.20 = 77,287.20 : x
  2. Step 2: Convert to fraction form
    210,343.20/315,601.20 = 77,287.20/x
  3. Step 3: Cross multiply
    210,343.20x = 315,601.20 × 77,287.20
  4. Step 4: Simplify right side
    210,343.20x = 24,391,933,064.64
  5. Step 5: Solve for x
    x = 24,391,933,064.64/210,343.20
  6. Step 6: Final answer
    x = 115,962.55

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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.