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Finding the Fourth Proportional to 487,851.64, 731,356.84 and 188,542.24

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Solution

The fourth proportional to 487,851.64, 731,356.84 and 188,542.24 is: 282,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,851.64 : 731,356.84 = 188,542.24 : x
  2. Step 2: Convert to fraction form
    487,851.64/731,356.84 = 188,542.24/x
  3. Step 3: Cross multiply
    487,851.64x = 731,356.84 × 188,542.24
  4. Step 4: Simplify right side
    487,851.64x = 137,891,656,852.92
  5. Step 5: Solve for x
    x = 137,891,656,852.92/487,851.64
  6. Step 6: Final answer
    x = 282,650.80

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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.