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Finding the Fourth Proportional to 257,294.88, 385,913.16 and 99,480.96

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Solution

The fourth proportional to 257,294.88, 385,913.16 and 99,480.96 is: 149,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,294.88 : 385,913.16 = 99,480.96 : x
  2. Step 2: Convert to fraction form
    257,294.88/385,913.16 = 99,480.96/x
  3. Step 3: Cross multiply
    257,294.88x = 385,913.16 × 99,480.96
  4. Step 4: Simplify right side
    257,294.88x = 38,391,011,633.43
  5. Step 5: Solve for x
    x = 38,391,011,633.43/257,294.88
  6. Step 6: Final answer
    x = 149,210.17

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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.