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Finding the Fourth Proportional to 317,897.86, 438,516.56 and 198,458.50

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Solution

The fourth proportional to 317,897.86, 438,516.56 and 198,458.50 is: 273,758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,897.86 : 438,516.56 = 198,458.50 : x
  2. Step 2: Convert to fraction form
    317,897.86/438,516.56 = 198,458.50/x
  3. Step 3: Cross multiply
    317,897.86x = 438,516.56 × 198,458.50
  4. Step 4: Simplify right side
    317,897.86x = 87,027,338,722.76
  5. Step 5: Solve for x
    x = 87,027,338,722.76/317,897.86
  6. Step 6: Final answer
    x = 273,758.81

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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.