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Finding the Fourth Proportional to 342,205.80, 512,963.10 and 155,351.40

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Solution

The fourth proportional to 342,205.80, 512,963.10 and 155,351.40 is: 232,870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,205.80 : 512,963.10 = 155,351.40 : x
  2. Step 2: Convert to fraction form
    342,205.80/512,963.10 = 155,351.40/x
  3. Step 3: Cross multiply
    342,205.80x = 512,963.10 × 155,351.40
  4. Step 4: Simplify right side
    342,205.80x = 79,689,535,733.34
  5. Step 5: Solve for x
    x = 79,689,535,733.34/342,205.80
  6. Step 6: Final answer
    x = 232,870.21

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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.