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Finding the Fourth Proportional to 377,805.80, 566,708.70 and 316,980.20

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Solution

The fourth proportional to 377,805.80, 566,708.70 and 316,980.20 is: 475,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,805.80 : 566,708.70 = 316,980.20 : x
  2. Step 2: Convert to fraction form
    377,805.80/566,708.70 = 316,980.20/x
  3. Step 3: Cross multiply
    377,805.80x = 566,708.70 × 316,980.20
  4. Step 4: Simplify right side
    377,805.80x = 179,635,437,067.74
  5. Step 5: Solve for x
    x = 179,635,437,067.74/377,805.80
  6. Step 6: Final answer
    x = 475,470.30

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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.