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Finding the Fourth Proportional to 298,699.40, 448,049.10 and 284,921.30

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Solution

The fourth proportional to 298,699.40, 448,049.10 and 284,921.30 is: 427,381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,699.40 : 448,049.10 = 284,921.30 : x
  2. Step 2: Convert to fraction form
    298,699.40/448,049.10 = 284,921.30/x
  3. Step 3: Cross multiply
    298,699.40x = 448,049.10 × 284,921.30
  4. Step 4: Simplify right side
    298,699.40x = 127,658,732,035.83
  5. Step 5: Solve for x
    x = 127,658,732,035.83/298,699.40
  6. Step 6: Final answer
    x = 427,381.95

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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.