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Finding the Fourth Proportional to 458,042.70, 686,869.65 and 221,457.90

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Solution

The fourth proportional to 458,042.70, 686,869.65 and 221,457.90 is: 332,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,042.70 : 686,869.65 = 221,457.90 : x
  2. Step 2: Convert to fraction form
    458,042.70/686,869.65 = 221,457.90/x
  3. Step 3: Cross multiply
    458,042.70x = 686,869.65 × 221,457.90
  4. Step 4: Simplify right side
    458,042.70x = 152,112,710,262.74
  5. Step 5: Solve for x
    x = 152,112,710,262.74/458,042.70
  6. Step 6: Final answer
    x = 332,092.86

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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.