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Finding the Fourth Proportional to 288,047.80, 432,266.10 and 187,964.20

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Solution

The fourth proportional to 288,047.80, 432,266.10 and 187,964.20 is: 282,073.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,047.80 : 432,266.10 = 187,964.20 : x
  2. Step 2: Convert to fraction form
    288,047.80/432,266.10 = 187,964.20/x
  3. Step 3: Cross multiply
    288,047.80x = 432,266.10 × 187,964.20
  4. Step 4: Simplify right side
    288,047.80x = 81,250,551,673.62
  5. Step 5: Solve for x
    x = 81,250,551,673.62/288,047.80
  6. Step 6: Final answer
    x = 282,073.15

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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.