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Finding the Fourth Proportional to 566,283.35, 781,471.13 and 311,634.54

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Solution

The fourth proportional to 566,283.35, 781,471.13 and 311,634.54 is: 430,055.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,283.35 : 781,471.13 = 311,634.54 : x
  2. Step 2: Convert to fraction form
    566,283.35/781,471.13 = 311,634.54/x
  3. Step 3: Cross multiply
    566,283.35x = 781,471.13 × 311,634.54
  4. Step 4: Simplify right side
    566,283.35x = 243,533,394,562.66
  5. Step 5: Solve for x
    x = 243,533,394,562.66/566,283.35
  6. Step 6: Final answer
    x = 430,055.73

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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.