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Finding the Fourth Proportional to 342,525.60, 513,010.80 and 176,119.20

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Solution

The fourth proportional to 342,525.60, 513,010.80 and 176,119.20 is: 263,778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,525.60 : 513,010.80 = 176,119.20 : x
  2. Step 2: Convert to fraction form
    342,525.60/513,010.80 = 176,119.20/x
  3. Step 3: Cross multiply
    342,525.60x = 513,010.80 × 176,119.20
  4. Step 4: Simplify right side
    342,525.60x = 90,351,051,687.36
  5. Step 5: Solve for x
    x = 90,351,051,687.36/342,525.60
  6. Step 6: Final answer
    x = 263,778.98

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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.