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Finding the Fourth Proportional to 490,232.31, 735,349.02 and 153,274.71

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Solution

The fourth proportional to 490,232.31, 735,349.02 and 153,274.71 is: 229,912.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,232.31 : 735,349.02 = 153,274.71 : x
  2. Step 2: Convert to fraction form
    490,232.31/735,349.02 = 153,274.71/x
  3. Step 3: Cross multiply
    490,232.31x = 735,349.02 × 153,274.71
  4. Step 4: Simplify right side
    490,232.31x = 112,710,407,789.28
  5. Step 5: Solve for x
    x = 112,710,407,789.28/490,232.31
  6. Step 6: Final answer
    x = 229,912.24

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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.