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Finding the Fourth Proportional to 709,020.41, 978,451.22 and 386,737.43

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Solution

The fourth proportional to 709,020.41, 978,451.22 and 386,737.43 is: 533,699.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,020.41 : 978,451.22 = 386,737.43 : x
  2. Step 2: Convert to fraction form
    709,020.41/978,451.22 = 386,737.43/x
  3. Step 3: Cross multiply
    709,020.41x = 978,451.22 × 386,737.43
  4. Step 4: Simplify right side
    709,020.41x = 378,403,703,377.22
  5. Step 5: Solve for x
    x = 378,403,703,377.22/709,020.41
  6. Step 6: Final answer
    x = 533,699.31

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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.