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Finding the Fourth Proportional to 490,586.17, 735,879.27 and 153,653.20

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Solution

The fourth proportional to 490,586.17, 735,879.27 and 153,653.20 is: 230,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,586.17 : 735,879.27 = 153,653.20 : x
  2. Step 2: Convert to fraction form
    490,586.17/735,879.27 = 153,653.20/x
  3. Step 3: Cross multiply
    490,586.17x = 735,879.27 × 153,653.20
  4. Step 4: Simplify right side
    490,586.17x = 113,070,204,649.16
  5. Step 5: Solve for x
    x = 113,070,204,649.16/490,586.17
  6. Step 6: Final answer
    x = 230,479.80

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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.