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Finding the Fourth Proportional to 342,615.53, 513,627.78 and 164,878.04

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Solution

The fourth proportional to 342,615.53, 513,627.78 and 164,878.04 is: 247,174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,615.53 : 513,627.78 = 164,878.04 : x
  2. Step 2: Convert to fraction form
    342,615.53/513,627.78 = 164,878.04/x
  3. Step 3: Cross multiply
    342,615.53x = 513,627.78 × 164,878.04
  4. Step 4: Simplify right side
    342,615.53x = 84,685,941,655.95
  5. Step 5: Solve for x
    x = 84,685,941,655.95/342,615.53
  6. Step 6: Final answer
    x = 247,174.85

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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.