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Finding the Fourth Proportional to 559,033.62, 771,480.27 and 304,398.78

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Solution

The fourth proportional to 559,033.62, 771,480.27 and 304,398.78 is: 420,077.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,033.62 : 771,480.27 = 304,398.78 : x
  2. Step 2: Convert to fraction form
    559,033.62/771,480.27 = 304,398.78/x
  3. Step 3: Cross multiply
    559,033.62x = 771,480.27 × 304,398.78
  4. Step 4: Simplify right side
    559,033.62x = 234,837,652,982.07
  5. Step 5: Solve for x
    x = 234,837,652,982.07/559,033.62
  6. Step 6: Final answer
    x = 420,077.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.