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Finding the Fourth Proportional to 578,648.70, 798,002.31 and 397,040.22

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Solution

The fourth proportional to 578,648.70, 798,002.31 and 397,040.22 is: 547,549.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,648.70 : 798,002.31 = 397,040.22 : x
  2. Step 2: Convert to fraction form
    578,648.70/798,002.31 = 397,040.22/x
  3. Step 3: Cross multiply
    578,648.70x = 798,002.31 × 397,040.22
  4. Step 4: Simplify right side
    578,648.70x = 316,839,012,722.91
  5. Step 5: Solve for x
    x = 316,839,012,722.91/578,648.70
  6. Step 6: Final answer
    x = 547,549.86

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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.