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Finding the Fourth Proportional to 647,902.80, 971,854.20 and 310,886.10

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Solution

The fourth proportional to 647,902.80, 971,854.20 and 310,886.10 is: 466,329.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,902.80 : 971,854.20 = 310,886.10 : x
  2. Step 2: Convert to fraction form
    647,902.80/971,854.20 = 310,886.10/x
  3. Step 3: Cross multiply
    647,902.80x = 971,854.20 × 310,886.10
  4. Step 4: Simplify right side
    647,902.80x = 302,135,962,006.62
  5. Step 5: Solve for x
    x = 302,135,962,006.62/647,902.80
  6. Step 6: Final answer
    x = 466,329.15

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Double scale
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Similar ratio
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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.