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Finding the Fourth Proportional to 453,903.41, 680,964.46 and 138,340.91

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Solution

The fourth proportional to 453,903.41, 680,964.46 and 138,340.91 is: 207,544.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,903.41 : 680,964.46 = 138,340.91 : x
  2. Step 2: Convert to fraction form
    453,903.41/680,964.46 = 138,340.91/x
  3. Step 3: Cross multiply
    453,903.41x = 680,964.46 × 138,340.91
  4. Step 4: Simplify right side
    453,903.41x = 94,205,239,323.38
  5. Step 5: Solve for x
    x = 94,205,239,323.38/453,903.41
  6. Step 6: Final answer
    x = 207,544.69

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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.