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Finding the Fourth Proportional to 315,071.20, 472,606.80 and 265,863.70

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Solution

The fourth proportional to 315,071.20, 472,606.80 and 265,863.70 is: 398,795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,071.20 : 472,606.80 = 265,863.70 : x
  2. Step 2: Convert to fraction form
    315,071.20/472,606.80 = 265,863.70/x
  3. Step 3: Cross multiply
    315,071.20x = 472,606.80 × 265,863.70
  4. Step 4: Simplify right side
    315,071.20x = 125,648,992,493.16
  5. Step 5: Solve for x
    x = 125,648,992,493.16/315,071.20
  6. Step 6: Final answer
    x = 398,795.55

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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.