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Finding the Fourth Proportional to 472,786, 652,444.68 and 303,020.20

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Solution

The fourth proportional to 472,786, 652,444.68 and 303,020.20 is: 418,167.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,786 : 652,444.68 = 303,020.20 : x
  2. Step 2: Convert to fraction form
    472,786/652,444.68 = 303,020.20/x
  3. Step 3: Cross multiply
    472,786x = 652,444.68 × 303,020.20
  4. Step 4: Simplify right side
    472,786x = 197,703,917,422.54
  5. Step 5: Solve for x
    x = 197,703,917,422.54/472,786
  6. Step 6: Final answer
    x = 418,167.88

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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.