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Finding the Fourth Proportional to 299,702.28, 447,367.14 and 261,867.84

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Solution

The fourth proportional to 299,702.28, 447,367.14 and 261,867.84 is: 390,891.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,702.28 : 447,367.14 = 261,867.84 : x
  2. Step 2: Convert to fraction form
    299,702.28/447,367.14 = 261,867.84/x
  3. Step 3: Cross multiply
    299,702.28x = 447,367.14 × 261,867.84
  4. Step 4: Simplify right side
    299,702.28x = 117,151,064,592.90
  5. Step 5: Solve for x
    x = 117,151,064,592.90/299,702.28
  6. Step 6: Final answer
    x = 390,891.47

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1.5x scale

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.