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Finding the Fourth Proportional to 288,275.54, 432,414.85 and 189,064.00

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Solution

The fourth proportional to 288,275.54, 432,414.85 and 189,064.00 is: 283,597.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,275.54 : 432,414.85 = 189,064.00 : x
  2. Step 2: Convert to fraction form
    288,275.54/432,414.85 = 189,064.00/x
  3. Step 3: Cross multiply
    288,275.54x = 432,414.85 × 189,064.00
  4. Step 4: Simplify right side
    288,275.54x = 81,754,079,874.84
  5. Step 5: Solve for x
    x = 81,754,079,874.84/288,275.54
  6. Step 6: Final answer
    x = 283,597.00

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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.