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Finding the Fourth Proportional to 342,216.80, 513,908.40 and 243,072.80

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Solution

The fourth proportional to 342,216.80, 513,908.40 and 243,072.80 is: 365,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,216.80 : 513,908.40 = 243,072.80 : x
  2. Step 2: Convert to fraction form
    342,216.80/513,908.40 = 243,072.80/x
  3. Step 3: Cross multiply
    342,216.80x = 513,908.40 × 243,072.80
  4. Step 4: Simplify right side
    342,216.80x = 124,917,153,731.52
  5. Step 5: Solve for x
    x = 124,917,153,731.52/342,216.80
  6. Step 6: Final answer
    x = 365,023.44

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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.