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Finding the Fourth Proportional to 566,395.26, 781,625.70 and 311,744.64

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Solution

The fourth proportional to 566,395.26, 781,625.70 and 311,744.64 is: 430,207.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,395.26 : 781,625.70 = 311,744.64 : x
  2. Step 2: Convert to fraction form
    566,395.26/781,625.70 = 311,744.64/x
  3. Step 3: Cross multiply
    566,395.26x = 781,625.70 × 311,744.64
  4. Step 4: Simplify right side
    566,395.26x = 243,667,622,461.25
  5. Step 5: Solve for x
    x = 243,667,622,461.25/566,395.26
  6. Step 6: Final answer
    x = 430,207.74

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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.