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Finding the Fourth Proportional to 345,208.32, 476,331.84 and 217,952.64

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Solution

The fourth proportional to 345,208.32, 476,331.84 and 217,952.64 is: 300,739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,208.32 : 476,331.84 = 217,952.64 : x
  2. Step 2: Convert to fraction form
    345,208.32/476,331.84 = 217,952.64/x
  3. Step 3: Cross multiply
    345,208.32x = 476,331.84 × 217,952.64
  4. Step 4: Simplify right side
    345,208.32x = 103,817,782,044.06
  5. Step 5: Solve for x
    x = 103,817,782,044.06/345,208.32
  6. Step 6: Final answer
    x = 300,739.51

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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.