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Finding the Fourth Proportional to 471,209.78, 650,220.94 and 280,186.26

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Solution

The fourth proportional to 471,209.78, 650,220.94 and 280,186.26 is: 386,628.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,209.78 : 650,220.94 = 280,186.26 : x
  2. Step 2: Convert to fraction form
    471,209.78/650,220.94 = 280,186.26/x
  3. Step 3: Cross multiply
    471,209.78x = 650,220.94 × 280,186.26
  4. Step 4: Simplify right side
    471,209.78x = 182,182,973,352.28
  5. Step 5: Solve for x
    x = 182,182,973,352.28/471,209.78
  6. Step 6: Final answer
    x = 386,628.17

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1.5x scale

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.