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Finding the Fourth Proportional to 342,197.80, 512,951.10 and 155,343.40

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Solution

The fourth proportional to 342,197.80, 512,951.10 and 155,343.40 is: 232,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,197.80 : 512,951.10 = 155,343.40 : x
  2. Step 2: Convert to fraction form
    342,197.80/512,951.10 = 155,343.40/x
  3. Step 3: Cross multiply
    342,197.80x = 512,951.10 × 155,343.40
  4. Step 4: Simplify right side
    342,197.80x = 79,683,567,907.74
  5. Step 5: Solve for x
    x = 79,683,567,907.74/342,197.80
  6. Step 6: Final answer
    x = 232,858.21

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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.