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Finding the Fourth Proportional to 485,228.71, 727,978.08 and 211,698.85

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Solution

The fourth proportional to 485,228.71, 727,978.08 and 211,698.85 is: 317,607.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,228.71 : 727,978.08 = 211,698.85 : x
  2. Step 2: Convert to fraction form
    485,228.71/727,978.08 = 211,698.85/x
  3. Step 3: Cross multiply
    485,228.71x = 727,978.08 × 211,698.85
  4. Step 4: Simplify right side
    485,228.71x = 154,112,122,361.21
  5. Step 5: Solve for x
    x = 154,112,122,361.21/485,228.71
  6. Step 6: Final answer
    x = 317,607.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.