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Finding the Fourth Proportional to 429,029.10, 643,401.90 and 144,642.96

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Solution

The fourth proportional to 429,029.10, 643,401.90 and 144,642.96 is: 216,916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,029.10 : 643,401.90 = 144,642.96 : x
  2. Step 2: Convert to fraction form
    429,029.10/643,401.90 = 144,642.96/x
  3. Step 3: Cross multiply
    429,029.10x = 643,401.90 × 144,642.96
  4. Step 4: Simplify right side
    429,029.10x = 93,063,555,285.62
  5. Step 5: Solve for x
    x = 93,063,555,285.62/429,029.10
  6. Step 6: Final answer
    x = 216,916.65

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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.