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Finding the Fourth Proportional to 299,139.40, 448,927.80 and 199,266.40

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Solution

The fourth proportional to 299,139.40, 448,927.80 and 199,266.40 is: 299,045.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,139.40 : 448,927.80 = 199,266.40 : x
  2. Step 2: Convert to fraction form
    299,139.40/448,927.80 = 199,266.40/x
  3. Step 3: Cross multiply
    299,139.40x = 448,927.80 × 199,266.40
  4. Step 4: Simplify right side
    299,139.40x = 89,456,226,565.92
  5. Step 5: Solve for x
    x = 89,456,226,565.92/299,139.40
  6. Step 6: Final answer
    x = 299,045.28

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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.