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Finding the Fourth Proportional to 378,080.64, 521,706.96 and 216,910.08

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Solution

The fourth proportional to 378,080.64, 521,706.96 and 216,910.08 is: 299,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,080.64 : 521,706.96 = 216,910.08 : x
  2. Step 2: Convert to fraction form
    378,080.64/521,706.96 = 216,910.08/x
  3. Step 3: Cross multiply
    378,080.64x = 521,706.96 × 216,910.08
  4. Step 4: Simplify right side
    378,080.64x = 113,163,498,430.16
  5. Step 5: Solve for x
    x = 113,163,498,430.16/378,080.64
  6. Step 6: Final answer
    x = 299,310.48

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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.