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Finding the Fourth Proportional to 257,038.64, 385,548.35 and 67,497.29

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Solution

The fourth proportional to 257,038.64, 385,548.35 and 67,497.29 is: 101,243.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,038.64 : 385,548.35 = 67,497.29 : x
  2. Step 2: Convert to fraction form
    257,038.64/385,548.35 = 67,497.29/x
  3. Step 3: Cross multiply
    257,038.64x = 385,548.35 × 67,497.29
  4. Step 4: Simplify right side
    257,038.64x = 26,023,466,523.74
  5. Step 5: Solve for x
    x = 26,023,466,523.74/257,038.64
  6. Step 6: Final answer
    x = 101,243.40

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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.