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Finding the Fourth Proportional to 315,076.68, 472,811.85 and 128,088.18

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Solution

The fourth proportional to 315,076.68, 472,811.85 and 128,088.18 is: 192,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,076.68 : 472,811.85 = 128,088.18 : x
  2. Step 2: Convert to fraction form
    315,076.68/472,811.85 = 128,088.18/x
  3. Step 3: Cross multiply
    315,076.68x = 472,811.85 × 128,088.18
  4. Step 4: Simplify right side
    315,076.68x = 60,561,609,348.93
  5. Step 5: Solve for x
    x = 60,561,609,348.93/315,076.68
  6. Step 6: Final answer
    x = 192,212.29

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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.