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Finding the Fourth Proportional to 299,266.88, 448,903.20 and 77,650.88

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Solution

The fourth proportional to 299,266.88, 448,903.20 and 77,650.88 is: 116,477.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,266.88 : 448,903.20 = 77,650.88 : x
  2. Step 2: Convert to fraction form
    299,266.88/448,903.20 = 77,650.88/x
  3. Step 3: Cross multiply
    299,266.88x = 448,903.20 × 77,650.88
  4. Step 4: Simplify right side
    299,266.88x = 34,857,728,514.82
  5. Step 5: Solve for x
    x = 34,857,728,514.82/299,266.88
  6. Step 6: Final answer
    x = 116,477.07

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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.