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Finding the Fourth Proportional to 378,409.71, 567,669.65 and 112,135.71

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Solution

The fourth proportional to 378,409.71, 567,669.65 and 112,135.71 is: 168,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,409.71 : 567,669.65 = 112,135.71 : x
  2. Step 2: Convert to fraction form
    378,409.71/567,669.65 = 112,135.71/x
  3. Step 3: Cross multiply
    378,409.71x = 567,669.65 × 112,135.71
  4. Step 4: Simplify right side
    378,409.71x = 63,656,038,687.52
  5. Step 5: Solve for x
    x = 63,656,038,687.52/378,409.71
  6. Step 6: Final answer
    x = 168,219.89

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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.