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Finding the Fourth Proportional to 298,891.78, 412,465.32 and 162,926.91

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Solution

The fourth proportional to 298,891.78, 412,465.32 and 162,926.91 is: 224,836.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,891.78 : 412,465.32 = 162,926.91 : x
  2. Step 2: Convert to fraction form
    298,891.78/412,465.32 = 162,926.91/x
  3. Step 3: Cross multiply
    298,891.78x = 412,465.32 × 162,926.91
  4. Step 4: Simplify right side
    298,891.78x = 67,201,700,069.76
  5. Step 5: Solve for x
    x = 67,201,700,069.76/298,891.78
  6. Step 6: Final answer
    x = 224,836.23

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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.