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Finding the Fourth Proportional to 201,869.10, 302,803.65 and 188,649.90

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Solution

The fourth proportional to 201,869.10, 302,803.65 and 188,649.90 is: 282,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,869.10 : 302,803.65 = 188,649.90 : x
  2. Step 2: Convert to fraction form
    201,869.10/302,803.65 = 188,649.90/x
  3. Step 3: Cross multiply
    201,869.10x = 302,803.65 × 188,649.90
  4. Step 4: Simplify right side
    201,869.10x = 57,123,878,292.14
  5. Step 5: Solve for x
    x = 57,123,878,292.14/201,869.10
  6. Step 6: Final answer
    x = 282,974.85

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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.