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Finding the Fourth Proportional to 315,175.40, 470,304.88 and 281,207.90

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Solution

The fourth proportional to 315,175.40, 470,304.88 and 281,207.90 is: 419,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,175.40 : 470,304.88 = 281,207.90 : x
  2. Step 2: Convert to fraction form
    315,175.40/470,304.88 = 281,207.90/x
  3. Step 3: Cross multiply
    315,175.40x = 470,304.88 × 281,207.90
  4. Step 4: Simplify right side
    315,175.40x = 132,253,447,664.55
  5. Step 5: Solve for x
    x = 132,253,447,664.55/315,175.40
  6. Step 6: Final answer
    x = 419,618.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.