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Finding the Fourth Proportional to 315,512.76, 473,270.49 and 78,855.78

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Solution

The fourth proportional to 315,512.76, 473,270.49 and 78,855.78 is: 118,284.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,512.76 : 473,270.49 = 78,855.78 : x
  2. Step 2: Convert to fraction form
    315,512.76/473,270.49 = 78,855.78/x
  3. Step 3: Cross multiply
    315,512.76x = 473,270.49 × 78,855.78
  4. Step 4: Simplify right side
    315,512.76x = 37,320,113,639.93
  5. Step 5: Solve for x
    x = 37,320,113,639.93/315,512.76
  6. Step 6: Final answer
    x = 118,284.01

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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.