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Finding the Fourth Proportional to 509,351.88, 702,892.98 and 282,997.92

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Solution

The fourth proportional to 509,351.88, 702,892.98 and 282,997.92 is: 390,530.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,351.88 : 702,892.98 = 282,997.92 : x
  2. Step 2: Convert to fraction form
    509,351.88/702,892.98 = 282,997.92/x
  3. Step 3: Cross multiply
    509,351.88x = 702,892.98 × 282,997.92
  4. Step 4: Simplify right side
    509,351.88x = 198,917,251,322.60
  5. Step 5: Solve for x
    x = 198,917,251,322.60/509,351.88
  6. Step 6: Final answer
    x = 390,530.12

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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.