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Finding the Fourth Proportional to 342,333.12, 513,621.30 and 152,776.20

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Solution

The fourth proportional to 342,333.12, 513,621.30 and 152,776.20 is: 229,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,333.12 : 513,621.30 = 152,776.20 : x
  2. Step 2: Convert to fraction form
    342,333.12/513,621.30 = 152,776.20/x
  3. Step 3: Cross multiply
    342,333.12x = 513,621.30 × 152,776.20
  4. Step 4: Simplify right side
    342,333.12x = 78,469,110,453.06
  5. Step 5: Solve for x
    x = 78,469,110,453.06/342,333.12
  6. Step 6: Final answer
    x = 229,218.58

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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.