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Finding the Fourth Proportional to 420,402.44, 580,167.60 and 229,428.14

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Solution

The fourth proportional to 420,402.44, 580,167.60 and 229,428.14 is: 316,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,402.44 : 580,167.60 = 229,428.14 : x
  2. Step 2: Convert to fraction form
    420,402.44/580,167.60 = 229,428.14/x
  3. Step 3: Cross multiply
    420,402.44x = 580,167.60 × 229,428.14
  4. Step 4: Simplify right side
    420,402.44x = 133,106,773,356.26
  5. Step 5: Solve for x
    x = 133,106,773,356.26/420,402.44
  6. Step 6: Final answer
    x = 316,617.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.