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Finding the Fourth Proportional to 471,078.72, 706,190.45 and 171,347.40

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Solution

The fourth proportional to 471,078.72, 706,190.45 and 171,347.40 is: 256,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,078.72 : 706,190.45 = 171,347.40 : x
  2. Step 2: Convert to fraction form
    471,078.72/706,190.45 = 171,347.40/x
  3. Step 3: Cross multiply
    471,078.72x = 706,190.45 × 171,347.40
  4. Step 4: Simplify right side
    471,078.72x = 121,003,896,655.59
  5. Step 5: Solve for x
    x = 121,003,896,655.59/471,078.72
  6. Step 6: Final answer
    x = 256,865.55

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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.