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Finding the Fourth Proportional to 471,970.80, 651,063.83 and 280,947.29

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Solution

The fourth proportional to 471,970.80, 651,063.83 and 280,947.29 is: 387,554.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,970.80 : 651,063.83 = 280,947.29 : x
  2. Step 2: Convert to fraction form
    471,970.80/651,063.83 = 280,947.29/x
  3. Step 3: Cross multiply
    471,970.80x = 651,063.83 × 280,947.29
  4. Step 4: Simplify right side
    471,970.80x = 182,914,613,995.47
  5. Step 5: Solve for x
    x = 182,914,613,995.47/471,970.80
  6. Step 6: Final answer
    x = 387,554.94

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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.