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Finding the Fourth Proportional to 766,099, 1,149,148.50 and 240,787

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Solution

The fourth proportional to 766,099, 1,149,148.50 and 240,787 is: 361,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,099 : 1,149,148.50 = 240,787 : x
  2. Step 2: Convert to fraction form
    766,099/1,149,148.50 = 240,787/x
  3. Step 3: Cross multiply
    766,099x = 1,149,148.50 × 240,787
  4. Step 4: Simplify right side
    766,099x = 276,700,019,869.50
  5. Step 5: Solve for x
    x = 276,700,019,869.50/766,099
  6. Step 6: Final answer
    x = 361,180.50

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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.