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Finding the Fourth Proportional to 342,176.40, 513,264.60 and 155,187.90

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Solution

The fourth proportional to 342,176.40, 513,264.60 and 155,187.90 is: 232,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,176.40 : 513,264.60 = 155,187.90 : x
  2. Step 2: Convert to fraction form
    342,176.40/513,264.60 = 155,187.90/x
  3. Step 3: Cross multiply
    342,176.40x = 513,264.60 × 155,187.90
  4. Step 4: Simplify right side
    342,176.40x = 79,652,455,418.34
  5. Step 5: Solve for x
    x = 79,652,455,418.34/342,176.40
  6. Step 6: Final answer
    x = 232,781.85

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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.