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Finding the Fourth Proportional to 429,275.60, 643,999.80 and 148,734.80

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Solution

The fourth proportional to 429,275.60, 643,999.80 and 148,734.80 is: 223,132.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,275.60 : 643,999.80 = 148,734.80 : x
  2. Step 2: Convert to fraction form
    429,275.60/643,999.80 = 148,734.80/x
  3. Step 3: Cross multiply
    429,275.60x = 643,999.80 × 148,734.80
  4. Step 4: Simplify right side
    429,275.60x = 95,785,181,453.04
  5. Step 5: Solve for x
    x = 95,785,181,453.04/429,275.60
  6. Step 6: Final answer
    x = 223,132.14

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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.