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Finding the Fourth Proportional to 345,135.66, 517,267.31 and 155,393.97

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Solution

The fourth proportional to 345,135.66, 517,267.31 and 155,393.97 is: 232,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,135.66 : 517,267.31 = 155,393.97 : x
  2. Step 2: Convert to fraction form
    345,135.66/517,267.31 = 155,393.97/x
  3. Step 3: Cross multiply
    345,135.66x = 517,267.31 × 155,393.97
  4. Step 4: Simplify right side
    345,135.66x = 80,380,220,075.15
  5. Step 5: Solve for x
    x = 80,380,220,075.15/345,135.66
  6. Step 6: Final answer
    x = 232,894.57

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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.