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Finding the Fourth Proportional to 709,035.04, 978,471.42 and 386,752.04

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Solution

The fourth proportional to 709,035.04, 978,471.42 and 386,752.04 is: 533,719.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,035.04 : 978,471.42 = 386,752.04 : x
  2. Step 2: Convert to fraction form
    709,035.04/978,471.42 = 386,752.04/x
  3. Step 3: Cross multiply
    709,035.04x = 978,471.42 × 386,752.04
  4. Step 4: Simplify right side
    709,035.04x = 378,425,817,766.70
  5. Step 5: Solve for x
    x = 378,425,817,766.70/709,035.04
  6. Step 6: Final answer
    x = 533,719.49

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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.