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Finding the Fourth Proportional to 342,156, 513,447.84 and 164,681.76

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Solution

The fourth proportional to 342,156, 513,447.84 and 164,681.76 is: 247,125.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,156 : 513,447.84 = 164,681.76 : x
  2. Step 2: Convert to fraction form
    342,156/513,447.84 = 164,681.76/x
  3. Step 3: Cross multiply
    342,156x = 513,447.84 × 164,681.76
  4. Step 4: Simplify right side
    342,156x = 84,555,493,959.40
  5. Step 5: Solve for x
    x = 84,555,493,959.40/342,156
  6. Step 6: Final answer
    x = 247,125.56

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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.