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Finding the Fourth Proportional to 538,415.30, 807,331.35 and 222,904.10

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Solution

The fourth proportional to 538,415.30, 807,331.35 and 222,904.10 is: 334,235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,415.30 : 807,331.35 = 222,904.10 : x
  2. Step 2: Convert to fraction form
    538,415.30/807,331.35 = 222,904.10/x
  3. Step 3: Cross multiply
    538,415.30x = 807,331.35 × 222,904.10
  4. Step 4: Simplify right side
    538,415.30x = 179,957,467,973.54
  5. Step 5: Solve for x
    x = 179,957,467,973.54/538,415.30
  6. Step 6: Final answer
    x = 334,235.43

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1.5x scale

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.