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Finding the Fourth Proportional to 342,111.80, 512,822.10 and 155,257.40

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Solution

The fourth proportional to 342,111.80, 512,822.10 and 155,257.40 is: 232,729.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,111.80 : 512,822.10 = 155,257.40 : x
  2. Step 2: Convert to fraction form
    342,111.80/512,822.10 = 155,257.40/x
  3. Step 3: Cross multiply
    342,111.80x = 512,822.10 × 155,257.40
  4. Step 4: Simplify right side
    342,111.80x = 79,619,425,908.54
  5. Step 5: Solve for x
    x = 79,619,425,908.54/342,111.80
  6. Step 6: Final answer
    x = 232,729.26

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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.