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Finding the Fourth Proportional to 378,078.86, 569,710.88 and 312,979.70

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Solution

The fourth proportional to 378,078.86, 569,710.88 and 312,979.70 is: 471,615.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,078.86 : 569,710.88 = 312,979.70 : x
  2. Step 2: Convert to fraction form
    378,078.86/569,710.88 = 312,979.70/x
  3. Step 3: Cross multiply
    378,078.86x = 569,710.88 × 312,979.70
  4. Step 4: Simplify right side
    378,078.86x = 178,307,940,309.14
  5. Step 5: Solve for x
    x = 178,307,940,309.14/378,078.86
  6. Step 6: Final answer
    x = 471,615.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.