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Finding the Fourth Proportional to 429,007.96, 643,495.08 and 129,480.39

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Solution

The fourth proportional to 429,007.96, 643,495.08 and 129,480.39 is: 194,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,007.96 : 643,495.08 = 129,480.39 : x
  2. Step 2: Convert to fraction form
    429,007.96/643,495.08 = 129,480.39/x
  3. Step 3: Cross multiply
    429,007.96x = 643,495.08 × 129,480.39
  4. Step 4: Simplify right side
    429,007.96x = 83,319,994,407.03
  5. Step 5: Solve for x
    x = 83,319,994,407.03/429,007.96
  6. Step 6: Final answer
    x = 194,215.50

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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.