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Finding the Fourth Proportional to 429,657.96, 643,505.18 and 205,175.64

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Solution

The fourth proportional to 429,657.96, 643,505.18 and 205,175.64 is: 307,294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,657.96 : 643,505.18 = 205,175.64 : x
  2. Step 2: Convert to fraction form
    429,657.96/643,505.18 = 205,175.64/x
  3. Step 3: Cross multiply
    429,657.96x = 643,505.18 × 205,175.64
  4. Step 4: Simplify right side
    429,657.96x = 132,031,586,123.94
  5. Step 5: Solve for x
    x = 132,031,586,123.94/429,657.96
  6. Step 6: Final answer
    x = 307,294.64

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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.