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Finding the Fourth Proportional to 423,074.88, 634,549.68 and 123,475.05

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Solution

The fourth proportional to 423,074.88, 634,549.68 and 123,475.05 is: 185,194.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,074.88 : 634,549.68 = 123,475.05 : x
  2. Step 2: Convert to fraction form
    423,074.88/634,549.68 = 123,475.05/x
  3. Step 3: Cross multiply
    423,074.88x = 634,549.68 × 123,475.05
  4. Step 4: Simplify right side
    423,074.88x = 78,351,053,465.48
  5. Step 5: Solve for x
    x = 78,351,053,465.48/423,074.88
  6. Step 6: Final answer
    x = 185,194.29

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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.