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Finding the Fourth Proportional to 407,896.40, 611,740.92 and 127,442

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Solution

The fourth proportional to 407,896.40, 611,740.92 and 127,442 is: 191,130.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,896.40 : 611,740.92 = 127,442 : x
  2. Step 2: Convert to fraction form
    407,896.40/611,740.92 = 127,442/x
  3. Step 3: Cross multiply
    407,896.40x = 611,740.92 × 127,442
  4. Step 4: Simplify right side
    407,896.40x = 77,961,486,326.64
  5. Step 5: Solve for x
    x = 77,961,486,326.64/407,896.40
  6. Step 6: Final answer
    x = 191,130.61

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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.