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Finding the Fourth Proportional to 709,042.24, 978,489.78 and 386,752.24

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Solution

The fourth proportional to 709,042.24, 978,489.78 and 386,752.24 is: 533,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,042.24 : 978,489.78 = 386,752.24 : x
  2. Step 2: Convert to fraction form
    709,042.24/978,489.78 = 386,752.24/x
  3. Step 3: Cross multiply
    709,042.24x = 978,489.78 × 386,752.24
  4. Step 4: Simplify right side
    709,042.24x = 378,433,114,232.11
  5. Step 5: Solve for x
    x = 378,433,114,232.11/709,042.24
  6. Step 6: Final answer
    x = 533,724.36

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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.