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Finding the Fourth Proportional to 304,297.40, 456,446.10 and 198,543.80

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Solution

The fourth proportional to 304,297.40, 456,446.10 and 198,543.80 is: 297,815.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,297.40 : 456,446.10 = 198,543.80 : x
  2. Step 2: Convert to fraction form
    304,297.40/456,446.10 = 198,543.80/x
  3. Step 3: Cross multiply
    304,297.40x = 456,446.10 × 198,543.80
  4. Step 4: Simplify right side
    304,297.40x = 90,624,543,189.18
  5. Step 5: Solve for x
    x = 90,624,543,189.18/304,297.40
  6. Step 6: Final answer
    x = 297,815.70

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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.