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Finding the Fourth Proportional to 298,917, 412,472.52 and 178,041.78

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Solution

The fourth proportional to 298,917, 412,472.52 and 178,041.78 is: 245,678.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,917 : 412,472.52 = 178,041.78 : x
  2. Step 2: Convert to fraction form
    298,917/412,472.52 = 178,041.78/x
  3. Step 3: Cross multiply
    298,917x = 412,472.52 × 178,041.78
  4. Step 4: Simplify right side
    298,917x = 73,437,341,661.89
  5. Step 5: Solve for x
    x = 73,437,341,661.89/298,917
  6. Step 6: Final answer
    x = 245,678.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.