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Finding the Fourth Proportional to 458,047.70, 686,877.15 and 221,462.90

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Solution

The fourth proportional to 458,047.70, 686,877.15 and 221,462.90 is: 332,100.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,047.70 : 686,877.15 = 221,462.90 : x
  2. Step 2: Convert to fraction form
    458,047.70/686,877.15 = 221,462.90/x
  3. Step 3: Cross multiply
    458,047.70x = 686,877.15 × 221,462.90
  4. Step 4: Simplify right side
    458,047.70x = 152,117,805,582.74
  5. Step 5: Solve for x
    x = 152,117,805,582.74/458,047.70
  6. Step 6: Final answer
    x = 332,100.36

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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.