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Finding the Fourth Proportional to 521,744.10, 719,672.31 and 358,321.74

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Solution

The fourth proportional to 521,744.10, 719,672.31 and 358,321.74 is: 494,254.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,744.10 : 719,672.31 = 358,321.74 : x
  2. Step 2: Convert to fraction form
    521,744.10/719,672.31 = 358,321.74/x
  3. Step 3: Cross multiply
    521,744.10x = 719,672.31 × 358,321.74
  4. Step 4: Simplify right side
    521,744.10x = 257,874,234,349.02
  5. Step 5: Solve for x
    x = 257,874,234,349.02/521,744.10
  6. Step 6: Final answer
    x = 494,254.24

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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.