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Finding the Fourth Proportional to 256,854.10, 385,281.15 and 251,605.30

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Solution

The fourth proportional to 256,854.10, 385,281.15 and 251,605.30 is: 377,407.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,854.10 : 385,281.15 = 251,605.30 : x
  2. Step 2: Convert to fraction form
    256,854.10/385,281.15 = 251,605.30/x
  3. Step 3: Cross multiply
    256,854.10x = 385,281.15 × 251,605.30
  4. Step 4: Simplify right side
    256,854.10x = 96,938,779,330.10
  5. Step 5: Solve for x
    x = 96,938,779,330.10/256,854.10
  6. Step 6: Final answer
    x = 377,407.95

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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.