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Finding the Fourth Proportional to 315,753.87, 435,746.61 and 172,522.80

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Solution

The fourth proportional to 315,753.87, 435,746.61 and 172,522.80 is: 238,084.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,753.87 : 435,746.61 = 172,522.80 : x
  2. Step 2: Convert to fraction form
    315,753.87/435,746.61 = 172,522.80/x
  3. Step 3: Cross multiply
    315,753.87x = 435,746.61 × 172,522.80
  4. Step 4: Simplify right side
    315,753.87x = 75,176,225,247.71
  5. Step 5: Solve for x
    x = 75,176,225,247.71/315,753.87
  6. Step 6: Final answer
    x = 238,084.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.