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Finding the Fourth Proportional to 485,756, 728,682.61 and 148,792.76

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Solution

The fourth proportional to 485,756, 728,682.61 and 148,792.76 is: 223,204.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,756 : 728,682.61 = 148,792.76 : x
  2. Step 2: Convert to fraction form
    485,756/728,682.61 = 148,792.76/x
  3. Step 3: Cross multiply
    485,756x = 728,682.61 × 148,792.76
  4. Step 4: Simplify right side
    485,756x = 108,422,696,705.90
  5. Step 5: Solve for x
    x = 108,422,696,705.90/485,756
  6. Step 6: Final answer
    x = 223,204.03

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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.