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Finding the Fourth Proportional to 503,802.10, 755,047.05 and 204,037.30

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Solution

The fourth proportional to 503,802.10, 755,047.05 and 204,037.30 is: 305,790.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,802.10 : 755,047.05 = 204,037.30 : x
  2. Step 2: Convert to fraction form
    503,802.10/755,047.05 = 204,037.30/x
  3. Step 3: Cross multiply
    503,802.10x = 755,047.05 × 204,037.30
  4. Step 4: Simplify right side
    503,802.10x = 154,057,761,454.97
  5. Step 5: Solve for x
    x = 154,057,761,454.97/503,802.10
  6. Step 6: Final answer
    x = 305,790.23

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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.