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Finding the Fourth Proportional to 538,909.56, 808,494.20 and 201,953.15

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Solution

The fourth proportional to 538,909.56, 808,494.20 and 201,953.15 is: 302,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,909.56 : 808,494.20 = 201,953.15 : x
  2. Step 2: Convert to fraction form
    538,909.56/808,494.20 = 201,953.15/x
  3. Step 3: Cross multiply
    538,909.56x = 808,494.20 × 201,953.15
  4. Step 4: Simplify right side
    538,909.56x = 163,277,945,394.49
  5. Step 5: Solve for x
    x = 163,277,945,394.49/538,909.56
  6. Step 6: Final answer
    x = 302,978.38

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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.