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Finding the Fourth Proportional to 288,290.75, 432,437.65 and 189,079.20

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Solution

The fourth proportional to 288,290.75, 432,437.65 and 189,079.20 is: 283,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,290.75 : 432,437.65 = 189,079.20 : x
  2. Step 2: Convert to fraction form
    288,290.75/432,437.65 = 189,079.20/x
  3. Step 3: Cross multiply
    288,290.75x = 432,437.65 × 189,079.20
  4. Step 4: Simplify right side
    288,290.75x = 81,764,964,439.18
  5. Step 5: Solve for x
    x = 81,764,964,439.18/288,290.75
  6. Step 6: Final answer
    x = 283,619.80

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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.