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Finding the Fourth Proportional to 299,270.90, 448,906.35 and 77,654.90

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Solution

The fourth proportional to 299,270.90, 448,906.35 and 77,654.90 is: 116,482.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,270.90 : 448,906.35 = 77,654.90 : x
  2. Step 2: Convert to fraction form
    299,270.90/448,906.35 = 77,654.90/x
  3. Step 3: Cross multiply
    299,270.90x = 448,906.35 × 77,654.90
  4. Step 4: Simplify right side
    299,270.90x = 34,859,777,718.62
  5. Step 5: Solve for x
    x = 34,859,777,718.62/299,270.90
  6. Step 6: Final answer
    x = 116,482.35

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1.5x scale

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.