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Finding the Fourth Proportional to 414,647.33, 572,389.86 and 278,760.08

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Solution

The fourth proportional to 414,647.33, 572,389.86 and 278,760.08 is: 384,807.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,647.33 : 572,389.86 = 278,760.08 : x
  2. Step 2: Convert to fraction form
    414,647.33/572,389.86 = 278,760.08/x
  3. Step 3: Cross multiply
    414,647.33x = 572,389.86 × 278,760.08
  4. Step 4: Simplify right side
    414,647.33x = 159,559,444,595.76
  5. Step 5: Solve for x
    x = 159,559,444,595.76/414,647.33
  6. Step 6: Final answer
    x = 384,807.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.