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Finding the Fourth Proportional to 429,151.80, 643,727.70 and 113,640.60

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Solution

The fourth proportional to 429,151.80, 643,727.70 and 113,640.60 is: 170,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,151.80 : 643,727.70 = 113,640.60 : x
  2. Step 2: Convert to fraction form
    429,151.80/643,727.70 = 113,640.60/x
  3. Step 3: Cross multiply
    429,151.80x = 643,727.70 × 113,640.60
  4. Step 4: Simplify right side
    429,151.80x = 73,153,602,064.62
  5. Step 5: Solve for x
    x = 73,153,602,064.62/429,151.80
  6. Step 6: Final answer
    x = 170,460.90

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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.