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Finding the Fourth Proportional to 378,316.86, 566,474.13 and 228,356.70

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Solution

The fourth proportional to 378,316.86, 566,474.13 and 228,356.70 is: 341,930.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,316.86 : 566,474.13 = 228,356.70 : x
  2. Step 2: Convert to fraction form
    378,316.86/566,474.13 = 228,356.70/x
  3. Step 3: Cross multiply
    378,316.86x = 566,474.13 × 228,356.70
  4. Step 4: Simplify right side
    378,316.86x = 129,358,162,962.17
  5. Step 5: Solve for x
    x = 129,358,162,962.17/378,316.86
  6. Step 6: Final answer
    x = 341,930.74

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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.