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Finding the Fourth Proportional to 709,061.18, 978,468.46 and 386,768.66

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Solution

The fourth proportional to 709,061.18, 978,468.46 and 386,768.66 is: 533,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,061.18 : 978,468.46 = 386,768.66 : x
  2. Step 2: Convert to fraction form
    709,061.18/978,468.46 = 386,768.66/x
  3. Step 3: Cross multiply
    709,061.18x = 978,468.46 × 386,768.66
  4. Step 4: Simplify right side
    709,061.18x = 378,440,929,267.20
  5. Step 5: Solve for x
    x = 378,440,929,267.20/709,061.18
  6. Step 6: Final answer
    x = 533,721.13

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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.