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Finding the Fourth Proportional to 289,057.80, 433,565.10 and 120,534.60

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Solution

The fourth proportional to 289,057.80, 433,565.10 and 120,534.60 is: 180,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,057.80 : 433,565.10 = 120,534.60 : x
  2. Step 2: Convert to fraction form
    289,057.80/433,565.10 = 120,534.60/x
  3. Step 3: Cross multiply
    289,057.80x = 433,565.10 × 120,534.60
  4. Step 4: Simplify right side
    289,057.80x = 52,259,595,902.46
  5. Step 5: Solve for x
    x = 52,259,595,902.46/289,057.80
  6. Step 6: Final answer
    x = 180,792.89

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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.