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Finding the Fourth Proportional to 315,046.70, 472,570.05 and 265,839.20

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Solution

The fourth proportional to 315,046.70, 472,570.05 and 265,839.20 is: 398,758.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,046.70 : 472,570.05 = 265,839.20 : x
  2. Step 2: Convert to fraction form
    315,046.70/472,570.05 = 265,839.20/x
  3. Step 3: Cross multiply
    315,046.70x = 472,570.05 × 265,839.20
  4. Step 4: Simplify right side
    315,046.70x = 125,627,644,035.96
  5. Step 5: Solve for x
    x = 125,627,644,035.96/315,046.70
  6. Step 6: Final answer
    x = 398,758.80

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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.