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Finding the Fourth Proportional to 288,098.78, 397,516.98 and 165,567.56

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Solution

The fourth proportional to 288,098.78, 397,516.98 and 165,567.56 is: 228,449.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,098.78 : 397,516.98 = 165,567.56 : x
  2. Step 2: Convert to fraction form
    288,098.78/397,516.98 = 165,567.56/x
  3. Step 3: Cross multiply
    288,098.78x = 397,516.98 × 165,567.56
  4. Step 4: Simplify right side
    288,098.78x = 65,815,916,437.17
  5. Step 5: Solve for x
    x = 65,815,916,437.17/288,098.78
  6. Step 6: Final answer
    x = 228,449.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.