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Finding the Fourth Proportional to 414,005.10, 621,007.65 and 254,572.80

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Solution

The fourth proportional to 414,005.10, 621,007.65 and 254,572.80 is: 381,859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,005.10 : 621,007.65 = 254,572.80 : x
  2. Step 2: Convert to fraction form
    414,005.10/621,007.65 = 254,572.80/x
  3. Step 3: Cross multiply
    414,005.10x = 621,007.65 × 254,572.80
  4. Step 4: Simplify right side
    414,005.10x = 158,091,656,281.92
  5. Step 5: Solve for x
    x = 158,091,656,281.92/414,005.10
  6. Step 6: Final answer
    x = 381,859.20

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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.