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Finding the Fourth Proportional to 255,177.29, 382,821.29 and 77,679.70

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Solution

The fourth proportional to 255,177.29, 382,821.29 and 77,679.70 is: 116,536.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,177.29 : 382,821.29 = 77,679.70 : x
  2. Step 2: Convert to fraction form
    255,177.29/382,821.29 = 77,679.70/x
  3. Step 3: Cross multiply
    255,177.29x = 382,821.29 × 77,679.70
  4. Step 4: Simplify right side
    255,177.29x = 29,737,442,960.81
  5. Step 5: Solve for x
    x = 29,737,442,960.81/255,177.29
  6. Step 6: Final answer
    x = 116,536.40

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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.