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Finding the Fourth Proportional to 661,638.47, 992,463.80 and 188,323.70

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Solution

The fourth proportional to 661,638.47, 992,463.80 and 188,323.70 is: 282,487.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,638.47 : 992,463.80 = 188,323.70 : x
  2. Step 2: Convert to fraction form
    661,638.47/992,463.80 = 188,323.70/x
  3. Step 3: Cross multiply
    661,638.47x = 992,463.80 × 188,323.70
  4. Step 4: Simplify right side
    661,638.47x = 186,904,449,028.12
  5. Step 5: Solve for x
    x = 186,904,449,028.12/661,638.47
  6. Step 6: Final answer
    x = 282,487.28

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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.