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Finding the Fourth Proportional to 458,643.90, 687,965.85 and 177,978.90

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Solution

The fourth proportional to 458,643.90, 687,965.85 and 177,978.90 is: 266,968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,643.90 : 687,965.85 = 177,978.90 : x
  2. Step 2: Convert to fraction form
    458,643.90/687,965.85 = 177,978.90/x
  3. Step 3: Cross multiply
    458,643.90x = 687,965.85 × 177,978.90
  4. Step 4: Simplify right side
    458,643.90x = 122,443,405,220.57
  5. Step 5: Solve for x
    x = 122,443,405,220.57/458,643.90
  6. Step 6: Final answer
    x = 266,968.35

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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.