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Finding the Fourth Proportional to 489,188.80, 733,856.10 and 173,619.28

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Solution

The fourth proportional to 489,188.80, 733,856.10 and 173,619.28 is: 260,454.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,188.80 : 733,856.10 = 173,619.28 : x
  2. Step 2: Convert to fraction form
    489,188.80/733,856.10 = 173,619.28/x
  3. Step 3: Cross multiply
    489,188.80x = 733,856.10 × 173,619.28
  4. Step 4: Simplify right side
    489,188.80x = 127,411,567,705.61
  5. Step 5: Solve for x
    x = 127,411,567,705.61/489,188.80
  6. Step 6: Final answer
    x = 260,454.79

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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.