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Finding the Fourth Proportional to 298,299.68, 447,271.05 and 202,354.80

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Solution

The fourth proportional to 298,299.68, 447,271.05 and 202,354.80 is: 303,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,299.68 : 447,271.05 = 202,354.80 : x
  2. Step 2: Convert to fraction form
    298,299.68/447,271.05 = 202,354.80/x
  3. Step 3: Cross multiply
    298,299.68x = 447,271.05 × 202,354.80
  4. Step 4: Simplify right side
    298,299.68x = 90,507,444,374.43
  5. Step 5: Solve for x
    x = 90,507,444,374.43/298,299.68
  6. Step 6: Final answer
    x = 303,411.13

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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.