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Finding the Fourth Proportional to 257,304.40, 386,013.32 and 86,520.28

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Solution

The fourth proportional to 257,304.40, 386,013.32 and 86,520.28 is: 129,799.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,304.40 : 386,013.32 = 86,520.28 : x
  2. Step 2: Convert to fraction form
    257,304.40/386,013.32 = 86,520.28/x
  3. Step 3: Cross multiply
    257,304.40x = 386,013.32 × 86,520.28
  4. Step 4: Simplify right side
    257,304.40x = 33,397,980,530.13
  5. Step 5: Solve for x
    x = 33,397,980,530.13/257,304.40
  6. Step 6: Final answer
    x = 129,799.49

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1.5x scale

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.