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Finding the Fourth Proportional to 191,731.20, 287,596.80 and 180,844.80

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Solution

The fourth proportional to 191,731.20, 287,596.80 and 180,844.80 is: 271,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,731.20 : 287,596.80 = 180,844.80 : x
  2. Step 2: Convert to fraction form
    191,731.20/287,596.80 = 180,844.80/x
  3. Step 3: Cross multiply
    191,731.20x = 287,596.80 × 180,844.80
  4. Step 4: Simplify right side
    191,731.20x = 52,010,385,776.64
  5. Step 5: Solve for x
    x = 52,010,385,776.64/191,731.20
  6. Step 6: Final answer
    x = 271,267.20

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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.