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Finding the Fourth Proportional to 490,228.36, 735,343.12 and 153,270.78

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Solution

The fourth proportional to 490,228.36, 735,343.12 and 153,270.78 is: 229,906.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,228.36 : 735,343.12 = 153,270.78 : x
  2. Step 2: Convert to fraction form
    490,228.36/735,343.12 = 153,270.78/x
  3. Step 3: Cross multiply
    490,228.36x = 735,343.12 × 153,270.78
  4. Step 4: Simplify right side
    490,228.36x = 112,706,610,141.94
  5. Step 5: Solve for x
    x = 112,706,610,141.94/490,228.36
  6. Step 6: Final answer
    x = 229,906.35

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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.