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Finding the Fourth Proportional to 484,710.62, 727,176.52 and 147,781.40

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Solution

The fourth proportional to 484,710.62, 727,176.52 and 147,781.40 is: 221,705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,710.62 : 727,176.52 = 147,781.40 : x
  2. Step 2: Convert to fraction form
    484,710.62/727,176.52 = 147,781.40/x
  3. Step 3: Cross multiply
    484,710.62x = 727,176.52 × 147,781.40
  4. Step 4: Simplify right side
    484,710.62x = 107,463,164,172.73
  5. Step 5: Solve for x
    x = 107,463,164,172.73/484,710.62
  6. Step 6: Final answer
    x = 221,705.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.