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Finding the Fourth Proportional to 458,515.90, 687,190.65 and 221,347.90

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Solution

The fourth proportional to 458,515.90, 687,190.65 and 221,347.90 is: 331,740.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,515.90 : 687,190.65 = 221,347.90 : x
  2. Step 2: Convert to fraction form
    458,515.90/687,190.65 = 221,347.90/x
  3. Step 3: Cross multiply
    458,515.90x = 687,190.65 × 221,347.90
  4. Step 4: Simplify right side
    458,515.90x = 152,108,207,277.14
  5. Step 5: Solve for x
    x = 152,108,207,277.14/458,515.90
  6. Step 6: Final answer
    x = 331,740.31

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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.