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Finding the Fourth Proportional to 299,317.32, 448,974.63 and 99,637.38

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Solution

The fourth proportional to 299,317.32, 448,974.63 and 99,637.38 is: 149,455.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,317.32 : 448,974.63 = 99,637.38 : x
  2. Step 2: Convert to fraction form
    299,317.32/448,974.63 = 99,637.38/x
  3. Step 3: Cross multiply
    299,317.32x = 448,974.63 × 99,637.38
  4. Step 4: Simplify right side
    299,317.32x = 44,734,655,819.67
  5. Step 5: Solve for x
    x = 44,734,655,819.67/299,317.32
  6. Step 6: Final answer
    x = 149,455.62

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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.