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Finding the Fourth Proportional to 709,247.01, 978,764.12 and 386,963.80

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Solution

The fourth proportional to 709,247.01, 978,764.12 and 386,963.80 is: 534,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,247.01 : 978,764.12 = 386,963.80 : x
  2. Step 2: Convert to fraction form
    709,247.01/978,764.12 = 386,963.80/x
  3. Step 3: Cross multiply
    709,247.01x = 978,764.12 × 386,963.80
  4. Step 4: Simplify right side
    709,247.01x = 378,746,283,178.86
  5. Step 5: Solve for x
    x = 378,746,283,178.86/709,247.01
  6. Step 6: Final answer
    x = 534,011.82

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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.