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Finding the Fourth Proportional to 519,902.60, 778,298.70 and 489,144.20

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Solution

The fourth proportional to 519,902.60, 778,298.70 and 489,144.20 is: 732,253.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,902.60 : 778,298.70 = 489,144.20 : x
  2. Step 2: Convert to fraction form
    519,902.60/778,298.70 = 489,144.20/x
  3. Step 3: Cross multiply
    519,902.60x = 778,298.70 × 489,144.20
  4. Step 4: Simplify right side
    519,902.60x = 380,700,294,972.54
  5. Step 5: Solve for x
    x = 380,700,294,972.54/519,902.60
  6. Step 6: Final answer
    x = 732,253.11

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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.