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Finding the Fourth Proportional to 456,511.80, 684,767.70 and 156,965.70

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Solution

The fourth proportional to 456,511.80, 684,767.70 and 156,965.70 is: 235,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,511.80 : 684,767.70 = 156,965.70 : x
  2. Step 2: Convert to fraction form
    456,511.80/684,767.70 = 156,965.70/x
  3. Step 3: Cross multiply
    456,511.80x = 684,767.70 × 156,965.70
  4. Step 4: Simplify right side
    456,511.80x = 107,485,041,367.89
  5. Step 5: Solve for x
    x = 107,485,041,367.89/456,511.80
  6. Step 6: Final answer
    x = 235,448.55

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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.