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Finding the Fourth Proportional to 299,123.72, 448,588.53 and 99,390.48

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Solution

The fourth proportional to 299,123.72, 448,588.53 and 99,390.48 is: 149,053.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,123.72 : 448,588.53 = 99,390.48 : x
  2. Step 2: Convert to fraction form
    299,123.72/448,588.53 = 99,390.48/x
  3. Step 3: Cross multiply
    299,123.72x = 448,588.53 × 99,390.48
  4. Step 4: Simplify right side
    299,123.72x = 44,585,427,636.99
  5. Step 5: Solve for x
    x = 44,585,427,636.99/299,123.72
  6. Step 6: Final answer
    x = 149,053.47

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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.