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Finding the Fourth Proportional to 345,144.16, 517,840.80 and 120,537.64

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Solution

The fourth proportional to 345,144.16, 517,840.80 and 120,537.64 is: 180,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,144.16 : 517,840.80 = 120,537.64 : x
  2. Step 2: Convert to fraction form
    345,144.16/517,840.80 = 120,537.64/x
  3. Step 3: Cross multiply
    345,144.16x = 517,840.80 × 120,537.64
  4. Step 4: Simplify right side
    345,144.16x = 62,419,307,927.71
  5. Step 5: Solve for x
    x = 62,419,307,927.71/345,144.16
  6. Step 6: Final answer
    x = 180,849.96

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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.