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Finding the Fourth Proportional to 503,721.60, 754,999.20 and 204,005.40

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Solution

The fourth proportional to 503,721.60, 754,999.20 and 204,005.40 is: 305,771.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,721.60 : 754,999.20 = 204,005.40 : x
  2. Step 2: Convert to fraction form
    503,721.60/754,999.20 = 204,005.40/x
  3. Step 3: Cross multiply
    503,721.60x = 754,999.20 × 204,005.40
  4. Step 4: Simplify right side
    503,721.60x = 154,023,913,795.68
  5. Step 5: Solve for x
    x = 154,023,913,795.68/503,721.60
  6. Step 6: Final answer
    x = 305,771.91

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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.