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Finding the Fourth Proportional to 509,101.52, 702,549.96 and 282,739.28

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Solution

The fourth proportional to 509,101.52, 702,549.96 and 282,739.28 is: 390,174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,101.52 : 702,549.96 = 282,739.28 : x
  2. Step 2: Convert to fraction form
    509,101.52/702,549.96 = 282,739.28/x
  3. Step 3: Cross multiply
    509,101.52x = 702,549.96 × 282,739.28
  4. Step 4: Simplify right side
    509,101.52x = 198,638,469,854.43
  5. Step 5: Solve for x
    x = 198,638,469,854.43/509,101.52
  6. Step 6: Final answer
    x = 390,174.58

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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.