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Finding the Fourth Proportional to 709,084.48, 978,542.84 and 386,796.01

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Solution

The fourth proportional to 709,084.48, 978,542.84 and 386,796.01 is: 533,781.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,084.48 : 978,542.84 = 386,796.01 : x
  2. Step 2: Convert to fraction form
    709,084.48/978,542.84 = 386,796.01/x
  3. Step 3: Cross multiply
    709,084.48x = 978,542.84 × 386,796.01
  4. Step 4: Simplify right side
    709,084.48x = 378,496,466,126.07
  5. Step 5: Solve for x
    x = 378,496,466,126.07/709,084.48
  6. Step 6: Final answer
    x = 533,781.91

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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.