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Finding the Fourth Proportional to 299,713.34, 447,383.63 and 261,878.95

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Solution

The fourth proportional to 299,713.34, 447,383.63 and 261,878.95 is: 390,908.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,713.34 : 447,383.63 = 261,878.95 : x
  2. Step 2: Convert to fraction form
    299,713.34/447,383.63 = 261,878.95/x
  3. Step 3: Cross multiply
    299,713.34x = 447,383.63 × 261,878.95
  4. Step 4: Simplify right side
    299,713.34x = 117,160,352,843.74
  5. Step 5: Solve for x
    x = 117,160,352,843.74/299,713.34
  6. Step 6: Final answer
    x = 390,908.03

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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.