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Finding the Fourth Proportional to 489,861.82, 734,820.12 and 152,949.02

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Solution

The fourth proportional to 489,861.82, 734,820.12 and 152,949.02 is: 229,432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,861.82 : 734,820.12 = 152,949.02 : x
  2. Step 2: Convert to fraction form
    489,861.82/734,820.12 = 152,949.02/x
  3. Step 3: Cross multiply
    489,861.82x = 734,820.12 × 152,949.02
  4. Step 4: Simplify right side
    489,861.82x = 112,390,017,230.28
  5. Step 5: Solve for x
    x = 112,390,017,230.28/489,861.82
  6. Step 6: Final answer
    x = 229,432.08

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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.