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Finding the Fourth Proportional to 412,911.31, 619,428.52 and 146,649.46

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Solution

The fourth proportional to 412,911.31, 619,428.52 and 146,649.46 is: 219,996.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,911.31 : 619,428.52 = 146,649.46 : x
  2. Step 2: Convert to fraction form
    412,911.31/619,428.52 = 146,649.46/x
  3. Step 3: Cross multiply
    412,911.31x = 619,428.52 × 146,649.46
  4. Step 4: Simplify right side
    412,911.31x = 90,838,854,869.46
  5. Step 5: Solve for x
    x = 90,838,854,869.46/412,911.31
  6. Step 6: Final answer
    x = 219,996.05

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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.