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Finding the Fourth Proportional to 342,101.60, 512,374.80 and 175,695.20

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Solution

The fourth proportional to 342,101.60, 512,374.80 and 175,695.20 is: 263,143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,101.60 : 512,374.80 = 175,695.20 : x
  2. Step 2: Convert to fraction form
    342,101.60/512,374.80 = 175,695.20/x
  3. Step 3: Cross multiply
    342,101.60x = 512,374.80 × 175,695.20
  4. Step 4: Simplify right side
    342,101.60x = 90,021,792,960.96
  5. Step 5: Solve for x
    x = 90,021,792,960.96/342,101.60
  6. Step 6: Final answer
    x = 263,143.44

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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.