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Finding the Fourth Proportional to 254,963.76, 382,489.40 and 77,488.72

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Solution

The fourth proportional to 254,963.76, 382,489.40 and 77,488.72 is: 116,246.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,963.76 : 382,489.40 = 77,488.72 : x
  2. Step 2: Convert to fraction form
    254,963.76/382,489.40 = 77,488.72/x
  3. Step 3: Cross multiply
    254,963.76x = 382,489.40 × 77,488.72
  4. Step 4: Simplify right side
    254,963.76x = 29,638,614,019.57
  5. Step 5: Solve for x
    x = 29,638,614,019.57/254,963.76
  6. Step 6: Final answer
    x = 116,246.38

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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.