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Finding the Fourth Proportional to 299,909.40, 449,864.10 and 78,293.40

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Solution

The fourth proportional to 299,909.40, 449,864.10 and 78,293.40 is: 117,440.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,909.40 : 449,864.10 = 78,293.40 : x
  2. Step 2: Convert to fraction form
    299,909.40/449,864.10 = 78,293.40/x
  3. Step 3: Cross multiply
    299,909.40x = 449,864.10 × 78,293.40
  4. Step 4: Simplify right side
    299,909.40x = 35,221,389,926.94
  5. Step 5: Solve for x
    x = 35,221,389,926.94/299,909.40
  6. Step 6: Final answer
    x = 117,440.10

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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.