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Finding the Fourth Proportional to 490,228.30, 735,343.02 and 153,270.72

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Solution

The fourth proportional to 490,228.30, 735,343.02 and 153,270.72 is: 229,906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,228.30 : 735,343.02 = 153,270.72 : x
  2. Step 2: Convert to fraction form
    490,228.30/735,343.02 = 153,270.72/x
  3. Step 3: Cross multiply
    490,228.30x = 735,343.02 × 153,270.72
  4. Step 4: Simplify right side
    490,228.30x = 112,706,550,445.66
  5. Step 5: Solve for x
    x = 112,706,550,445.66/490,228.30
  6. Step 6: Final answer
    x = 229,906.25

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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.