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Finding the Fourth Proportional to 517,306.13, 775,992 and 162,334.16

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Solution

The fourth proportional to 517,306.13, 775,992 and 162,334.16 is: 243,511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,306.13 : 775,992 = 162,334.16 : x
  2. Step 2: Convert to fraction form
    517,306.13/775,992 = 162,334.16/x
  3. Step 3: Cross multiply
    517,306.13x = 775,992 × 162,334.16
  4. Step 4: Simplify right side
    517,306.13x = 125,970,009,486.72
  5. Step 5: Solve for x
    x = 125,970,009,486.72/517,306.13
  6. Step 6: Final answer
    x = 243,511.53

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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.