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Finding the Fourth Proportional to 458,757.60, 688,136.49 and 143,241.54

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Solution

The fourth proportional to 458,757.60, 688,136.49 and 143,241.54 is: 214,862.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,757.60 : 688,136.49 = 143,241.54 : x
  2. Step 2: Convert to fraction form
    458,757.60/688,136.49 = 143,241.54/x
  3. Step 3: Cross multiply
    458,757.60x = 688,136.49 × 143,241.54
  4. Step 4: Simplify right side
    458,757.60x = 98,569,730,557.79
  5. Step 5: Solve for x
    x = 98,569,730,557.79/458,757.60
  6. Step 6: Final answer
    x = 214,862.34

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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.