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Finding the Fourth Proportional to 709,084.73, 978,543.17 and 386,796.26

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Solution

The fourth proportional to 709,084.73, 978,543.17 and 386,796.26 is: 533,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,084.73 : 978,543.17 = 386,796.26 : x
  2. Step 2: Convert to fraction form
    709,084.73/978,543.17 = 386,796.26/x
  3. Step 3: Cross multiply
    709,084.73x = 978,543.17 × 386,796.26
  4. Step 4: Simplify right side
    709,084.73x = 378,496,838,404.54
  5. Step 5: Solve for x
    x = 378,496,838,404.54/709,084.73
  6. Step 6: Final answer
    x = 533,782.24

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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.