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Finding the Fourth Proportional to 312,279.60, 468,638.10 and 134,913.90

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Solution

The fourth proportional to 312,279.60, 468,638.10 and 134,913.90 is: 202,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,279.60 : 468,638.10 = 134,913.90 : x
  2. Step 2: Convert to fraction form
    312,279.60/468,638.10 = 134,913.90/x
  3. Step 3: Cross multiply
    312,279.60x = 468,638.10 × 134,913.90
  4. Step 4: Simplify right side
    312,279.60x = 63,225,793,759.59
  5. Step 5: Solve for x
    x = 63,225,793,759.59/312,279.60
  6. Step 6: Final answer
    x = 202,465.33

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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.