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Finding the Fourth Proportional to 224,290.76, 309,520.16 and 123,688.76

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Solution

The fourth proportional to 224,290.76, 309,520.16 and 123,688.76 is: 170,689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,290.76 : 309,520.16 = 123,688.76 : x
  2. Step 2: Convert to fraction form
    224,290.76/309,520.16 = 123,688.76/x
  3. Step 3: Cross multiply
    224,290.76x = 309,520.16 × 123,688.76
  4. Step 4: Simplify right side
    224,290.76x = 38,284,164,785.40
  5. Step 5: Solve for x
    x = 38,284,164,785.40/224,290.76
  6. Step 6: Final answer
    x = 170,689.89

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Double scale
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1.5x scale

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.