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Finding the Fourth Proportional to 566,750, 782,103.12 and 312,103.28

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Solution

The fourth proportional to 566,750, 782,103.12 and 312,103.28 is: 430,695.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,750 : 782,103.12 = 312,103.28 : x
  2. Step 2: Convert to fraction form
    566,750/782,103.12 = 312,103.28/x
  3. Step 3: Cross multiply
    566,750x = 782,103.12 × 312,103.28
  4. Step 4: Simplify right side
    566,750x = 244,096,949,050.23
  5. Step 5: Solve for x
    x = 244,096,949,050.23/566,750
  6. Step 6: Final answer
    x = 430,695.98

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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.