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Finding the Fourth Proportional to 414,079.20, 621,205.20 and 236,440.80

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Solution

The fourth proportional to 414,079.20, 621,205.20 and 236,440.80 is: 354,710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,079.20 : 621,205.20 = 236,440.80 : x
  2. Step 2: Convert to fraction form
    414,079.20/621,205.20 = 236,440.80/x
  3. Step 3: Cross multiply
    414,079.20x = 621,205.20 × 236,440.80
  4. Step 4: Simplify right side
    414,079.20x = 146,878,254,452.16
  5. Step 5: Solve for x
    x = 146,878,254,452.16/414,079.20
  6. Step 6: Final answer
    x = 354,710.53

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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.