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Finding the Fourth Proportional to 224,430, 309,719.88 and 123,834.48

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Solution

The fourth proportional to 224,430, 309,719.88 and 123,834.48 is: 170,895.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,430 : 309,719.88 = 123,834.48 : x
  2. Step 2: Convert to fraction form
    224,430/309,719.88 = 123,834.48/x
  3. Step 3: Cross multiply
    224,430x = 309,719.88 × 123,834.48
  4. Step 4: Simplify right side
    224,430x = 38,354,000,285.46
  5. Step 5: Solve for x
    x = 38,354,000,285.46/224,430
  6. Step 6: Final answer
    x = 170,895.16

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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.