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Finding the Fourth Proportional to 487,706.88, 731,622.63 and 188,273.16

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Solution

The fourth proportional to 487,706.88, 731,622.63 and 188,273.16 is: 282,433.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,706.88 : 731,622.63 = 188,273.16 : x
  2. Step 2: Convert to fraction form
    487,706.88/731,622.63 = 188,273.16/x
  3. Step 3: Cross multiply
    487,706.88x = 731,622.63 × 188,273.16
  4. Step 4: Simplify right side
    487,706.88x = 137,744,904,477.61
  5. Step 5: Solve for x
    x = 137,744,904,477.61/487,706.88
  6. Step 6: Final answer
    x = 282,433.79

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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.