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Finding the Fourth Proportional to 402,728.70, 604,079.37 and 103,212.22

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Solution

The fourth proportional to 402,728.70, 604,079.37 and 103,212.22 is: 154,814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,728.70 : 604,079.37 = 103,212.22 : x
  2. Step 2: Convert to fraction form
    402,728.70/604,079.37 = 103,212.22/x
  3. Step 3: Cross multiply
    402,728.70x = 604,079.37 × 103,212.22
  4. Step 4: Simplify right side
    402,728.70x = 62,348,373,976.05
  5. Step 5: Solve for x
    x = 62,348,373,976.05/402,728.70
  6. Step 6: Final answer
    x = 154,814.83

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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.