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Finding the Fourth Proportional to 438,431.60, 657,647.40 and 413,937.20

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Solution

The fourth proportional to 438,431.60, 657,647.40 and 413,937.20 is: 620,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,431.60 : 657,647.40 = 413,937.20 : x
  2. Step 2: Convert to fraction form
    438,431.60/657,647.40 = 413,937.20/x
  3. Step 3: Cross multiply
    438,431.60x = 657,647.40 × 413,937.20
  4. Step 4: Simplify right side
    438,431.60x = 272,224,723,343.28
  5. Step 5: Solve for x
    x = 272,224,723,343.28/438,431.60
  6. Step 6: Final answer
    x = 620,905.80

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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.