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Finding the Fourth Proportional to 520,499.92, 718,284 and 282,035.92

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Solution

The fourth proportional to 520,499.92, 718,284 and 282,035.92 is: 389,206.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,499.92 : 718,284 = 282,035.92 : x
  2. Step 2: Convert to fraction form
    520,499.92/718,284 = 282,035.92/x
  3. Step 3: Cross multiply
    520,499.92x = 718,284 × 282,035.92
  4. Step 4: Simplify right side
    520,499.92x = 202,581,888,761.28
  5. Step 5: Solve for x
    x = 202,581,888,761.28/520,499.92
  6. Step 6: Final answer
    x = 389,206.38

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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.