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Finding the Fourth Proportional to 313,143.57, 469,746.10 and 88,505.73

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Solution

The fourth proportional to 313,143.57, 469,746.10 and 88,505.73 is: 132,767.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,143.57 : 469,746.10 = 88,505.73 : x
  2. Step 2: Convert to fraction form
    313,143.57/469,746.10 = 88,505.73/x
  3. Step 3: Cross multiply
    313,143.57x = 469,746.10 × 88,505.73
  4. Step 4: Simplify right side
    313,143.57x = 41,575,221,495.15
  5. Step 5: Solve for x
    x = 41,575,221,495.15/313,143.57
  6. Step 6: Final answer
    x = 132,767.28

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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.