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Finding the Fourth Proportional to 653,490.72, 980,061.12 and 180,202.05

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Solution

The fourth proportional to 653,490.72, 980,061.12 and 180,202.05 is: 270,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,490.72 : 980,061.12 = 180,202.05 : x
  2. Step 2: Convert to fraction form
    653,490.72/980,061.12 = 180,202.05/x
  3. Step 3: Cross multiply
    653,490.72x = 980,061.12 × 180,202.05
  4. Step 4: Simplify right side
    653,490.72x = 176,609,022,949.30
  5. Step 5: Solve for x
    x = 176,609,022,949.30/653,490.72
  6. Step 6: Final answer
    x = 270,254.83

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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.