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Finding the Fourth Proportional to 491,008.64, 736,512.95 and 154,101.29

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Solution

The fourth proportional to 491,008.64, 736,512.95 and 154,101.29 is: 231,151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,008.64 : 736,512.95 = 154,101.29 : x
  2. Step 2: Convert to fraction form
    491,008.64/736,512.95 = 154,101.29/x
  3. Step 3: Cross multiply
    491,008.64x = 736,512.95 × 154,101.29
  4. Step 4: Simplify right side
    491,008.64x = 113,497,592,399.39
  5. Step 5: Solve for x
    x = 113,497,592,399.39/491,008.64
  6. Step 6: Final answer
    x = 231,151.93

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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.