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Finding the Fourth Proportional to 538,367.71, 807,691.75 and 201,434.71

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Solution

The fourth proportional to 538,367.71, 807,691.75 and 201,434.71 is: 302,204.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,367.71 : 807,691.75 = 201,434.71 : x
  2. Step 2: Convert to fraction form
    538,367.71/807,691.75 = 201,434.71/x
  3. Step 3: Cross multiply
    538,367.71x = 807,691.75 × 201,434.71
  4. Step 4: Simplify right side
    538,367.71x = 162,697,153,430.64
  5. Step 5: Solve for x
    x = 162,697,153,430.64/538,367.71
  6. Step 6: Final answer
    x = 302,204.52

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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.