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Finding the Fourth Proportional to 538,304.74, 807,217.16 and 285,527.70

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Solution

The fourth proportional to 538,304.74, 807,217.16 and 285,527.70 is: 428,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,304.74 : 807,217.16 = 285,527.70 : x
  2. Step 2: Convert to fraction form
    538,304.74/807,217.16 = 285,527.70/x
  3. Step 3: Cross multiply
    538,304.74x = 807,217.16 × 285,527.70
  4. Step 4: Simplify right side
    538,304.74x = 230,482,859,095.33
  5. Step 5: Solve for x
    x = 230,482,859,095.33/538,304.74
  6. Step 6: Final answer
    x = 428,164.28

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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.