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Finding the Fourth Proportional to 538,305.74, 807,218.66 and 285,528.70

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Solution

The fourth proportional to 538,305.74, 807,218.66 and 285,528.70 is: 428,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,305.74 : 807,218.66 = 285,528.70 : x
  2. Step 2: Convert to fraction form
    538,305.74/807,218.66 = 285,528.70/x
  3. Step 3: Cross multiply
    538,305.74x = 807,218.66 × 285,528.70
  4. Step 4: Simplify right side
    538,305.74x = 230,484,094,605.54
  5. Step 5: Solve for x
    x = 230,484,094,605.54/538,305.74
  6. Step 6: Final answer
    x = 428,165.78

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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.