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Finding the Fourth Proportional to 315,029.40, 472,544.10 and 165,211.80

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Solution

The fourth proportional to 315,029.40, 472,544.10 and 165,211.80 is: 247,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,029.40 : 472,544.10 = 165,211.80 : x
  2. Step 2: Convert to fraction form
    315,029.40/472,544.10 = 165,211.80/x
  3. Step 3: Cross multiply
    315,029.40x = 472,544.10 × 165,211.80
  4. Step 4: Simplify right side
    315,029.40x = 78,069,861,340.38
  5. Step 5: Solve for x
    x = 78,069,861,340.38/315,029.40
  6. Step 6: Final answer
    x = 247,817.70

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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.