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Finding the Fourth Proportional to 429,051.29, 643,680.99 and 129,513.96

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Solution

The fourth proportional to 429,051.29, 643,680.99 and 129,513.96 is: 194,302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,051.29 : 643,680.99 = 129,513.96 : x
  2. Step 2: Convert to fraction form
    429,051.29/643,680.99 = 129,513.96/x
  3. Step 3: Cross multiply
    429,051.29x = 643,680.99 × 129,513.96
  4. Step 4: Simplify right side
    429,051.29x = 83,365,675,437.72
  5. Step 5: Solve for x
    x = 83,365,675,437.72/429,051.29
  6. Step 6: Final answer
    x = 194,302.35

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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.