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Finding the Fourth Proportional to 489,170.78, 733,756.16 and 489,170.78

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Solution

The fourth proportional to 489,170.78, 733,756.16 and 489,170.78 is: 733,756.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,170.78 : 733,756.16 = 489,170.78 : x
  2. Step 2: Convert to fraction form
    489,170.78/733,756.16 = 489,170.78/x
  3. Step 3: Cross multiply
    489,170.78x = 733,756.16 × 489,170.78
  4. Step 4: Simplify right side
    489,170.78x = 358,932,070,671.15
  5. Step 5: Solve for x
    x = 358,932,070,671.15/489,170.78
  6. Step 6: Final answer
    x = 733,756.16

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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.