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Finding the Fourth Proportional to 315,435.57, 472,800.65 and 165,691.68

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Solution

The fourth proportional to 315,435.57, 472,800.65 and 165,691.68 is: 248,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,435.57 : 472,800.65 = 165,691.68 : x
  2. Step 2: Convert to fraction form
    315,435.57/472,800.65 = 165,691.68/x
  3. Step 3: Cross multiply
    315,435.57x = 472,800.65 × 165,691.68
  4. Step 4: Simplify right side
    315,435.57x = 78,339,131,639.59
  5. Step 5: Solve for x
    x = 78,339,131,639.59/315,435.57
  6. Step 6: Final answer
    x = 248,352.25

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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.