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Finding the Fourth Proportional to 456,815.22, 684,770.80 and 216,506.78

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Solution

The fourth proportional to 456,815.22, 684,770.80 and 216,506.78 is: 324,545.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,815.22 : 684,770.80 = 216,506.78 : x
  2. Step 2: Convert to fraction form
    456,815.22/684,770.80 = 216,506.78/x
  3. Step 3: Cross multiply
    456,815.22x = 684,770.80 × 216,506.78
  4. Step 4: Simplify right side
    456,815.22x = 148,257,520,946.02
  5. Step 5: Solve for x
    x = 148,257,520,946.02/456,815.22
  6. Step 6: Final answer
    x = 324,545.93

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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.