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Finding the Fourth Proportional to 525,475.43, 725,158.31 and 296,035.47

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Solution

The fourth proportional to 525,475.43, 725,158.31 and 296,035.47 is: 408,530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,475.43 : 725,158.31 = 296,035.47 : x
  2. Step 2: Convert to fraction form
    525,475.43/725,158.31 = 296,035.47/x
  3. Step 3: Cross multiply
    525,475.43x = 725,158.31 × 296,035.47
  4. Step 4: Simplify right side
    525,475.43x = 214,672,581,125.26
  5. Step 5: Solve for x
    x = 214,672,581,125.26/525,475.43
  6. Step 6: Final answer
    x = 408,530.20

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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.