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Finding the Fourth Proportional to 409,340.54, 611,132.64 and 312,772.36

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Solution

The fourth proportional to 409,340.54, 611,132.64 and 312,772.36 is: 466,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,340.54 : 611,132.64 = 312,772.36 : x
  2. Step 2: Convert to fraction form
    409,340.54/611,132.64 = 312,772.36/x
  3. Step 3: Cross multiply
    409,340.54x = 611,132.64 × 312,772.36
  4. Step 4: Simplify right side
    409,340.54x = 191,145,398,085.83
  5. Step 5: Solve for x
    x = 191,145,398,085.83/409,340.54
  6. Step 6: Final answer
    x = 466,959.36

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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.