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Finding the Fourth Proportional to 315,902.16, 473,355.09 and 115,947.45

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Solution

The fourth proportional to 315,902.16, 473,355.09 and 115,947.45 is: 173,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,902.16 : 473,355.09 = 115,947.45 : x
  2. Step 2: Convert to fraction form
    315,902.16/473,355.09 = 115,947.45/x
  3. Step 3: Cross multiply
    315,902.16x = 473,355.09 × 115,947.45
  4. Step 4: Simplify right side
    315,902.16x = 54,884,315,630.02
  5. Step 5: Solve for x
    x = 54,884,315,630.02/315,902.16
  6. Step 6: Final answer
    x = 173,738.34

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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.