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Finding the Fourth Proportional to 409,340.85, 611,133.10 and 312,772.66

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Solution

The fourth proportional to 409,340.85, 611,133.10 and 312,772.66 is: 466,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,340.85 : 611,133.10 = 312,772.66 : x
  2. Step 2: Convert to fraction form
    409,340.85/611,133.10 = 312,772.66/x
  3. Step 3: Cross multiply
    409,340.85x = 611,133.10 × 312,772.66
  4. Step 4: Simplify right side
    409,340.85x = 191,145,725,301.05
  5. Step 5: Solve for x
    x = 191,145,725,301.05/409,340.85
  6. Step 6: Final answer
    x = 466,959.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.