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Finding the Fourth Proportional to 431,710.65, 647,565.98 and 136,222.65

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Solution

The fourth proportional to 431,710.65, 647,565.98 and 136,222.65 is: 204,333.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,710.65 : 647,565.98 = 136,222.65 : x
  2. Step 2: Convert to fraction form
    431,710.65/647,565.98 = 136,222.65/x
  3. Step 3: Cross multiply
    431,710.65x = 647,565.98 × 136,222.65
  4. Step 4: Simplify right side
    431,710.65x = 88,213,153,164.33
  5. Step 5: Solve for x
    x = 88,213,153,164.33/431,710.65
  6. Step 6: Final answer
    x = 204,333.98

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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.