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Finding the Fourth Proportional to 498,234.60, 747,611.10 and 217,780.20

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Solution

The fourth proportional to 498,234.60, 747,611.10 and 217,780.20 is: 326,783.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,234.60 : 747,611.10 = 217,780.20 : x
  2. Step 2: Convert to fraction form
    498,234.60/747,611.10 = 217,780.20/x
  3. Step 3: Cross multiply
    498,234.60x = 747,611.10 × 217,780.20
  4. Step 4: Simplify right side
    498,234.60x = 162,814,894,880.22
  5. Step 5: Solve for x
    x = 162,814,894,880.22/498,234.60
  6. Step 6: Final answer
    x = 326,783.60

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1.5x scale

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.