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Finding the Fourth Proportional to 402,844.60, 555,881.97 and 233,047

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Solution

The fourth proportional to 402,844.60, 555,881.97 and 233,047 is: 321,579.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,844.60 : 555,881.97 = 233,047 : x
  2. Step 2: Convert to fraction form
    402,844.60/555,881.97 = 233,047/x
  3. Step 3: Cross multiply
    402,844.60x = 555,881.97 × 233,047
  4. Step 4: Simplify right side
    402,844.60x = 129,546,625,462.59
  5. Step 5: Solve for x
    x = 129,546,625,462.59/402,844.60
  6. Step 6: Final answer
    x = 321,579.65

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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.