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Finding the Fourth Proportional to 309,511.80, 463,997.70 and 120,101.40

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Solution

The fourth proportional to 309,511.80, 463,997.70 and 120,101.40 is: 180,047.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,511.80 : 463,997.70 = 120,101.40 : x
  2. Step 2: Convert to fraction form
    309,511.80/463,997.70 = 120,101.40/x
  3. Step 3: Cross multiply
    309,511.80x = 463,997.70 × 120,101.40
  4. Step 4: Simplify right side
    309,511.80x = 55,726,773,366.78
  5. Step 5: Solve for x
    x = 55,726,773,366.78/309,511.80
  6. Step 6: Final answer
    x = 180,047.33

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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.