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Finding the Fourth Proportional to 392,590.20, 588,443.80 and 199,924

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Solution

The fourth proportional to 392,590.20, 588,443.80 and 199,924 is: 299,661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,590.20 : 588,443.80 = 199,924 : x
  2. Step 2: Convert to fraction form
    392,590.20/588,443.80 = 199,924/x
  3. Step 3: Cross multiply
    392,590.20x = 588,443.80 × 199,924
  4. Step 4: Simplify right side
    392,590.20x = 117,644,038,271.20
  5. Step 5: Solve for x
    x = 117,644,038,271.20/392,590.20
  6. Step 6: Final answer
    x = 299,661.17

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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.