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Finding the Fourth Proportional to 315,052.17, 471,566.70 and 165,078.60

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Solution

The fourth proportional to 315,052.17, 471,566.70 and 165,078.60 is: 247,087.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,052.17 : 471,566.70 = 165,078.60 : x
  2. Step 2: Convert to fraction form
    315,052.17/471,566.70 = 165,078.60/x
  3. Step 3: Cross multiply
    315,052.17x = 471,566.70 × 165,078.60
  4. Step 4: Simplify right side
    315,052.17x = 77,845,570,642.62
  5. Step 5: Solve for x
    x = 77,845,570,642.62/315,052.17
  6. Step 6: Final answer
    x = 247,087.87

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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.