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Finding the Fourth Proportional to 471,298, 706,055.02 and 278,595.51

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Solution

The fourth proportional to 471,298, 706,055.02 and 278,595.51 is: 417,365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,298 : 706,055.02 = 278,595.51 : x
  2. Step 2: Convert to fraction form
    471,298/706,055.02 = 278,595.51/x
  3. Step 3: Cross multiply
    471,298x = 706,055.02 × 278,595.51
  4. Step 4: Simplify right side
    471,298x = 196,703,758,384.96
  5. Step 5: Solve for x
    x = 196,703,758,384.96/471,298
  6. Step 6: Final answer
    x = 417,365.99

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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.