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Finding the Fourth Proportional to 378,470.21, 567,062.66 and 228,395.15

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Solution

The fourth proportional to 378,470.21, 567,062.66 and 228,395.15 is: 342,204.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,470.21 : 567,062.66 = 228,395.15 : x
  2. Step 2: Convert to fraction form
    378,470.21/567,062.66 = 228,395.15/x
  3. Step 3: Cross multiply
    378,470.21x = 567,062.66 × 228,395.15
  4. Step 4: Simplify right side
    378,470.21x = 129,514,357,312.81
  5. Step 5: Solve for x
    x = 129,514,357,312.81/378,470.21
  6. Step 6: Final answer
    x = 342,204.90

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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.