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Finding the Fourth Proportional to 298,977.30, 448,465.95 and 282,647.70

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Solution

The fourth proportional to 298,977.30, 448,465.95 and 282,647.70 is: 423,971.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,977.30 : 448,465.95 = 282,647.70 : x
  2. Step 2: Convert to fraction form
    298,977.30/448,465.95 = 282,647.70/x
  3. Step 3: Cross multiply
    298,977.30x = 448,465.95 × 282,647.70
  4. Step 4: Simplify right side
    298,977.30x = 126,757,869,295.82
  5. Step 5: Solve for x
    x = 126,757,869,295.82/298,977.30
  6. Step 6: Final answer
    x = 423,971.55

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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.