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Finding the Fourth Proportional to 342,634.79, 513,656.84 and 165,266.46

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Solution

The fourth proportional to 342,634.79, 513,656.84 and 165,266.46 is: 247,757.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,634.79 : 513,656.84 = 165,266.46 : x
  2. Step 2: Convert to fraction form
    342,634.79/513,656.84 = 165,266.46/x
  3. Step 3: Cross multiply
    342,634.79x = 513,656.84 × 165,266.46
  4. Step 4: Simplify right side
    342,634.79x = 84,890,248,014.75
  5. Step 5: Solve for x
    x = 84,890,248,014.75/342,634.79
  6. Step 6: Final answer
    x = 247,757.23

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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.