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Finding the Fourth Proportional to 298,458, 412,221.96 and 197,681.04

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Solution

The fourth proportional to 298,458, 412,221.96 and 197,681.04 is: 273,031.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,458 : 412,221.96 = 197,681.04 : x
  2. Step 2: Convert to fraction form
    298,458/412,221.96 = 197,681.04/x
  3. Step 3: Cross multiply
    298,458x = 412,221.96 × 197,681.04
  4. Step 4: Simplify right side
    298,458x = 81,488,465,763.64
  5. Step 5: Solve for x
    x = 81,488,465,763.64/298,458
  6. Step 6: Final answer
    x = 273,031.60

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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.