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Finding the Fourth Proportional to 429,095.70, 643,732.08 and 140,929.08

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Solution

The fourth proportional to 429,095.70, 643,732.08 and 140,929.08 is: 211,422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,095.70 : 643,732.08 = 140,929.08 : x
  2. Step 2: Convert to fraction form
    429,095.70/643,732.08 = 140,929.08/x
  3. Step 3: Cross multiply
    429,095.70x = 643,732.08 × 140,929.08
  4. Step 4: Simplify right side
    429,095.70x = 90,720,569,800.89
  5. Step 5: Solve for x
    x = 90,720,569,800.89/429,095.70
  6. Step 6: Final answer
    x = 211,422.70

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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.