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Finding the Fourth Proportional to 511,459.20, 767,219.51 and 156,476.30

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Solution

The fourth proportional to 511,459.20, 767,219.51 and 156,476.30 is: 234,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,459.20 : 767,219.51 = 156,476.30 : x
  2. Step 2: Convert to fraction form
    511,459.20/767,219.51 = 156,476.30/x
  3. Step 3: Cross multiply
    511,459.20x = 767,219.51 × 156,476.30
  4. Step 4: Simplify right side
    511,459.20x = 120,051,665,594.13
  5. Step 5: Solve for x
    x = 120,051,665,594.13/511,459.20
  6. Step 6: Final answer
    x = 234,723.84

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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.