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Finding the Fourth Proportional to 299,136.80, 447,651.78 and 186,869.72

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Solution

The fourth proportional to 299,136.80, 447,651.78 and 186,869.72 is: 279,646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,136.80 : 447,651.78 = 186,869.72 : x
  2. Step 2: Convert to fraction form
    299,136.80/447,651.78 = 186,869.72/x
  3. Step 3: Cross multiply
    299,136.80x = 447,651.78 × 186,869.72
  4. Step 4: Simplify right side
    299,136.80x = 83,652,560,547.84
  5. Step 5: Solve for x
    x = 83,652,560,547.84/299,136.80
  6. Step 6: Final answer
    x = 279,646.51

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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.