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Finding the Fourth Proportional to 315,314.92, 472,743.25 and 125,718.42

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Solution

The fourth proportional to 315,314.92, 472,743.25 and 125,718.42 is: 188,486.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,314.92 : 472,743.25 = 125,718.42 : x
  2. Step 2: Convert to fraction form
    315,314.92/472,743.25 = 125,718.42/x
  3. Step 3: Cross multiply
    315,314.92x = 472,743.25 × 125,718.42
  4. Step 4: Simplify right side
    315,314.92x = 59,432,534,612.81
  5. Step 5: Solve for x
    x = 59,432,534,612.81/315,314.92
  6. Step 6: Final answer
    x = 188,486.28

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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.