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Finding the Fourth Proportional to 526,802.49, 726,989.28 and 285,085.02

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Solution

The fourth proportional to 526,802.49, 726,989.28 and 285,085.02 is: 393,418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,802.49 : 726,989.28 = 285,085.02 : x
  2. Step 2: Convert to fraction form
    526,802.49/726,989.28 = 285,085.02/x
  3. Step 3: Cross multiply
    526,802.49x = 726,989.28 × 285,085.02
  4. Step 4: Simplify right side
    526,802.49x = 207,253,753,428.59
  5. Step 5: Solve for x
    x = 207,253,753,428.59/526,802.49
  6. Step 6: Final answer
    x = 393,418.33

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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.