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Finding the Fourth Proportional to 388,781.46, 583,084.71 and 139,463.46

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Solution

The fourth proportional to 388,781.46, 583,084.71 and 139,463.46 is: 209,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,781.46 : 583,084.71 = 139,463.46 : x
  2. Step 2: Convert to fraction form
    388,781.46/583,084.71 = 139,463.46/x
  3. Step 3: Cross multiply
    388,781.46x = 583,084.71 × 139,463.46
  4. Step 4: Simplify right side
    388,781.46x = 81,319,011,129.70
  5. Step 5: Solve for x
    x = 81,319,011,129.70/388,781.46
  6. Step 6: Final answer
    x = 209,163.81

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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.