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Finding the Fourth Proportional to 491,702.72, 678,570.68 and 273,911.13

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Solution

The fourth proportional to 491,702.72, 678,570.68 and 273,911.13 is: 378,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,702.72 : 678,570.68 = 273,911.13 : x
  2. Step 2: Convert to fraction form
    491,702.72/678,570.68 = 273,911.13/x
  3. Step 3: Cross multiply
    491,702.72x = 678,570.68 × 273,911.13
  4. Step 4: Simplify right side
    491,702.72x = 185,868,062,428.45
  5. Step 5: Solve for x
    x = 185,868,062,428.45/491,702.72
  6. Step 6: Final answer
    x = 378,009.02

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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.