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Finding the Fourth Proportional to 408,666.88, 563,963.10 and 227,386.45

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Solution

The fourth proportional to 408,666.88, 563,963.10 and 227,386.45 is: 313,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,666.88 : 563,963.10 = 227,386.45 : x
  2. Step 2: Convert to fraction form
    408,666.88/563,963.10 = 227,386.45/x
  3. Step 3: Cross multiply
    408,666.88x = 563,963.10 × 227,386.45
  4. Step 4: Simplify right side
    408,666.88x = 128,237,565,830.09
  5. Step 5: Solve for x
    x = 128,237,565,830.09/408,666.88
  6. Step 6: Final answer
    x = 313,794.86

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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.