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Finding the Fourth Proportional to 224,317.68, 309,549.78 and 123,715.68

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Solution

The fourth proportional to 224,317.68, 309,549.78 and 123,715.68 is: 170,722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,317.68 : 309,549.78 = 123,715.68 : x
  2. Step 2: Convert to fraction form
    224,317.68/309,549.78 = 123,715.68/x
  3. Step 3: Cross multiply
    224,317.68x = 309,549.78 × 123,715.68
  4. Step 4: Simplify right side
    224,317.68x = 38,296,161,526.55
  5. Step 5: Solve for x
    x = 38,296,161,526.55/224,317.68
  6. Step 6: Final answer
    x = 170,722.89

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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.