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Finding the Fourth Proportional to 456,493.20, 684,739.80 and 140,909.10

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Solution

The fourth proportional to 456,493.20, 684,739.80 and 140,909.10 is: 211,363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,493.20 : 684,739.80 = 140,909.10 : x
  2. Step 2: Convert to fraction form
    456,493.20/684,739.80 = 140,909.10/x
  3. Step 3: Cross multiply
    456,493.20x = 684,739.80 × 140,909.10
  4. Step 4: Simplify right side
    456,493.20x = 96,486,068,952.18
  5. Step 5: Solve for x
    x = 96,486,068,952.18/456,493.20
  6. Step 6: Final answer
    x = 211,363.65

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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.