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Finding the Fourth Proportional to 363,815.16, 545,972.40 and 127,158

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Solution

The fourth proportional to 363,815.16, 545,972.40 and 127,158 is: 190,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,815.16 : 545,972.40 = 127,158 : x
  2. Step 2: Convert to fraction form
    363,815.16/545,972.40 = 127,158/x
  3. Step 3: Cross multiply
    363,815.16x = 545,972.40 × 127,158
  4. Step 4: Simplify right side
    363,815.16x = 69,424,758,439.20
  5. Step 5: Solve for x
    x = 69,424,758,439.20/363,815.16
  6. Step 6: Final answer
    x = 190,824.26

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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.