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Finding the Fourth Proportional to 538,454.80, 807,682.20 and 164,429.20

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Solution

The fourth proportional to 538,454.80, 807,682.20 and 164,429.20 is: 246,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,454.80 : 807,682.20 = 164,429.20 : x
  2. Step 2: Convert to fraction form
    538,454.80/807,682.20 = 164,429.20/x
  3. Step 3: Cross multiply
    538,454.80x = 807,682.20 × 164,429.20
  4. Step 4: Simplify right side
    538,454.80x = 132,806,538,000.24
  5. Step 5: Solve for x
    x = 132,806,538,000.24/538,454.80
  6. Step 6: Final answer
    x = 246,643.80

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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.