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Finding the Fourth Proportional to 315,408, 435,246.84 and 172,140.60

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Solution

The fourth proportional to 315,408, 435,246.84 and 172,140.60 is: 237,545.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,408 : 435,246.84 = 172,140.60 : x
  2. Step 2: Convert to fraction form
    315,408/435,246.84 = 172,140.60/x
  3. Step 3: Cross multiply
    315,408x = 435,246.84 × 172,140.60
  4. Step 4: Simplify right side
    315,408x = 74,923,652,185.70
  5. Step 5: Solve for x
    x = 74,923,652,185.70/315,408
  6. Step 6: Final answer
    x = 237,545.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.