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Finding the Fourth Proportional to 566,267.90, 781,449.83 and 311,619.09

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Solution

The fourth proportional to 566,267.90, 781,449.83 and 311,619.09 is: 430,034.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,267.90 : 781,449.83 = 311,619.09 : x
  2. Step 2: Convert to fraction form
    566,267.90/781,449.83 = 311,619.09/x
  3. Step 3: Cross multiply
    566,267.90x = 781,449.83 × 311,619.09
  4. Step 4: Simplify right side
    566,267.90x = 243,514,686,562.98
  5. Step 5: Solve for x
    x = 243,514,686,562.98/566,267.90
  6. Step 6: Final answer
    x = 430,034.41

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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.