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Finding the Fourth Proportional to 471,156.93, 704,952 and 279,134.48

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Solution

The fourth proportional to 471,156.93, 704,952 and 279,134.48 is: 417,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,156.93 : 704,952 = 279,134.48 : x
  2. Step 2: Convert to fraction form
    471,156.93/704,952 = 279,134.48/x
  3. Step 3: Cross multiply
    471,156.93x = 704,952 × 279,134.48
  4. Step 4: Simplify right side
    471,156.93x = 196,776,409,944.96
  5. Step 5: Solve for x
    x = 196,776,409,944.96/471,156.93
  6. Step 6: Final answer
    x = 417,645.16

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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.