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Finding the Fourth Proportional to 491,549.89, 678,339.02 and 287,640.01

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Solution

The fourth proportional to 491,549.89, 678,339.02 and 287,640.01 is: 396,943.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,549.89 : 678,339.02 = 287,640.01 : x
  2. Step 2: Convert to fraction form
    491,549.89/678,339.02 = 287,640.01/x
  3. Step 3: Cross multiply
    491,549.89x = 678,339.02 × 287,640.01
  4. Step 4: Simplify right side
    491,549.89x = 195,117,442,496.19
  5. Step 5: Solve for x
    x = 195,117,442,496.19/491,549.89
  6. Step 6: Final answer
    x = 396,943.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.