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Finding the Fourth Proportional to 299,296.08, 448,963.92 and 99,608.40

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Solution

The fourth proportional to 299,296.08, 448,963.92 and 99,608.40 is: 149,419.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,296.08 : 448,963.92 = 99,608.40 : x
  2. Step 2: Convert to fraction form
    299,296.08/448,963.92 = 99,608.40/x
  3. Step 3: Cross multiply
    299,296.08x = 448,963.92 × 99,608.40
  4. Step 4: Simplify right side
    299,296.08x = 44,720,577,728.93
  5. Step 5: Solve for x
    x = 44,720,577,728.93/299,296.08
  6. Step 6: Final answer
    x = 149,419.19

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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.