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Finding the Fourth Proportional to 257,801.10, 386,701.65 and 254,301.90

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Solution

The fourth proportional to 257,801.10, 386,701.65 and 254,301.90 is: 381,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,801.10 : 386,701.65 = 254,301.90 : x
  2. Step 2: Convert to fraction form
    257,801.10/386,701.65 = 254,301.90/x
  3. Step 3: Cross multiply
    257,801.10x = 386,701.65 × 254,301.90
  4. Step 4: Simplify right side
    257,801.10x = 98,338,964,328.14
  5. Step 5: Solve for x
    x = 98,338,964,328.14/257,801.10
  6. Step 6: Final answer
    x = 381,452.85

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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.