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Finding the Fourth Proportional to 429,053.76, 643,788 and 176,520.60

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Solution

The fourth proportional to 429,053.76, 643,788 and 176,520.60 is: 264,866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,053.76 : 643,788 = 176,520.60 : x
  2. Step 2: Convert to fraction form
    429,053.76/643,788 = 176,520.60/x
  3. Step 3: Cross multiply
    429,053.76x = 643,788 × 176,520.60
  4. Step 4: Simplify right side
    429,053.76x = 113,641,844,032.80
  5. Step 5: Solve for x
    x = 113,641,844,032.80/429,053.76
  6. Step 6: Final answer
    x = 264,866.21

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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.