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Finding the Fourth Proportional to 402,837.60, 555,872.31 and 233,040

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Solution

The fourth proportional to 402,837.60, 555,872.31 and 233,040 is: 321,569.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,837.60 : 555,872.31 = 233,040 : x
  2. Step 2: Convert to fraction form
    402,837.60/555,872.31 = 233,040/x
  3. Step 3: Cross multiply
    402,837.60x = 555,872.31 × 233,040
  4. Step 4: Simplify right side
    402,837.60x = 129,540,483,122.40
  5. Step 5: Solve for x
    x = 129,540,483,122.40/402,837.60
  6. Step 6: Final answer
    x = 321,569.99

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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.