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Finding the Fourth Proportional to 429,097.86, 643,500.99 and 148,549.50

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Solution

The fourth proportional to 429,097.86, 643,500.99 and 148,549.50 is: 222,773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,097.86 : 643,500.99 = 148,549.50 : x
  2. Step 2: Convert to fraction form
    429,097.86/643,500.99 = 148,549.50/x
  3. Step 3: Cross multiply
    429,097.86x = 643,500.99 × 148,549.50
  4. Step 4: Simplify right side
    429,097.86x = 95,591,750,314.01
  5. Step 5: Solve for x
    x = 95,591,750,314.01/429,097.86
  6. Step 6: Final answer
    x = 222,773.78

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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.