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Finding the Fourth Proportional to 315,046.20, 472,569.30 and 265,838.70

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Solution

The fourth proportional to 315,046.20, 472,569.30 and 265,838.70 is: 398,758.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,046.20 : 472,569.30 = 265,838.70 : x
  2. Step 2: Convert to fraction form
    315,046.20/472,569.30 = 265,838.70/x
  3. Step 3: Cross multiply
    315,046.20x = 472,569.30 × 265,838.70
  4. Step 4: Simplify right side
    315,046.20x = 125,627,208,371.91
  5. Step 5: Solve for x
    x = 125,627,208,371.91/315,046.20
  6. Step 6: Final answer
    x = 398,758.05

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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.