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Finding the Fourth Proportional to 299,134.30, 448,603.95 and 99,401.06

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Solution

The fourth proportional to 299,134.30, 448,603.95 and 99,401.06 is: 149,069.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,134.30 : 448,603.95 = 99,401.06 : x
  2. Step 2: Convert to fraction form
    299,134.30/448,603.95 = 99,401.06/x
  3. Step 3: Cross multiply
    299,134.30x = 448,603.95 × 99,401.06
  4. Step 4: Simplify right side
    299,134.30x = 44,591,708,150.19
  5. Step 5: Solve for x
    x = 44,591,708,150.19/299,134.30
  6. Step 6: Final answer
    x = 149,069.19

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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.