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Finding the Fourth Proportional to 460,350, 690,475.74 and 123,424.44

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Solution

The fourth proportional to 460,350, 690,475.74 and 123,424.44 is: 185,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,350 : 690,475.74 = 123,424.44 : x
  2. Step 2: Convert to fraction form
    460,350/690,475.74 = 123,424.44/x
  3. Step 3: Cross multiply
    460,350x = 690,475.74 × 123,424.44
  4. Step 4: Simplify right side
    460,350x = 85,221,581,543.09
  5. Step 5: Solve for x
    x = 85,221,581,543.09/460,350
  6. Step 6: Final answer
    x = 185,123.45

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1.5x scale

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.