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Finding the Fourth Proportional to 566,276.31, 781,461.44 and 311,627.49

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Solution

The fourth proportional to 566,276.31, 781,461.44 and 311,627.49 is: 430,046.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,276.31 : 781,461.44 = 311,627.49 : x
  2. Step 2: Convert to fraction form
    566,276.31/781,461.44 = 311,627.49/x
  3. Step 3: Cross multiply
    566,276.31x = 781,461.44 × 311,627.49
  4. Step 4: Simplify right side
    566,276.31x = 243,524,865,520.85
  5. Step 5: Solve for x
    x = 243,524,865,520.85/566,276.31
  6. Step 6: Final answer
    x = 430,046.01

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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.