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Finding the Fourth Proportional to 458,355.90, 687,570.61 and 174,182.59

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Solution

The fourth proportional to 458,355.90, 687,570.61 and 174,182.59 is: 261,287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,355.90 : 687,570.61 = 174,182.59 : x
  2. Step 2: Convert to fraction form
    458,355.90/687,570.61 = 174,182.59/x
  3. Step 3: Cross multiply
    458,355.90x = 687,570.61 × 174,182.59
  4. Step 4: Simplify right side
    458,355.90x = 119,762,829,657.68
  5. Step 5: Solve for x
    x = 119,762,829,657.68/458,355.90
  6. Step 6: Final answer
    x = 261,287.85

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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.