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Finding the Fourth Proportional to 315,212.90, 472,862.55 and 104,828.90

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Solution

The fourth proportional to 315,212.90, 472,862.55 and 104,828.90 is: 157,257.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,212.90 : 472,862.55 = 104,828.90 : x
  2. Step 2: Convert to fraction form
    315,212.90/472,862.55 = 104,828.90/x
  3. Step 3: Cross multiply
    315,212.90x = 472,862.55 × 104,828.90
  4. Step 4: Simplify right side
    315,212.90x = 49,569,660,967.70
  5. Step 5: Solve for x
    x = 49,569,660,967.70/315,212.90
  6. Step 6: Final answer
    x = 157,257.72

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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.