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Finding the Fourth Proportional to 414,647.89, 572,390.65 and 278,760.66

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Solution

The fourth proportional to 414,647.89, 572,390.65 and 278,760.66 is: 384,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,647.89 : 572,390.65 = 278,760.66 : x
  2. Step 2: Convert to fraction form
    414,647.89/572,390.65 = 278,760.66/x
  3. Step 3: Cross multiply
    414,647.89x = 572,390.65 × 278,760.66
  4. Step 4: Simplify right side
    414,647.89x = 159,559,993,573.82
  5. Step 5: Solve for x
    x = 159,559,993,573.82/414,647.89
  6. Step 6: Final answer
    x = 384,808.40

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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.