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Finding the Fourth Proportional to 386,878.84, 580,131.48 and 162,178.92

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Solution

The fourth proportional to 386,878.84, 580,131.48 and 162,178.92 is: 243,190.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,878.84 : 580,131.48 = 162,178.92 : x
  2. Step 2: Convert to fraction form
    386,878.84/580,131.48 = 162,178.92/x
  3. Step 3: Cross multiply
    386,878.84x = 580,131.48 × 162,178.92
  4. Step 4: Simplify right side
    386,878.84x = 94,085,096,884.40
  5. Step 5: Solve for x
    x = 94,085,096,884.40/386,878.84
  6. Step 6: Final answer
    x = 243,190.08

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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.