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Finding the Fourth Proportional to 402,770.68, 555,822.75 and 230,744.33

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Solution

The fourth proportional to 402,770.68, 555,822.75 and 230,744.33 is: 318,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,770.68 : 555,822.75 = 230,744.33 : x
  2. Step 2: Convert to fraction form
    402,770.68/555,822.75 = 230,744.33/x
  3. Step 3: Cross multiply
    402,770.68x = 555,822.75 × 230,744.33
  4. Step 4: Simplify right side
    402,770.68x = 128,252,948,940.48
  5. Step 5: Solve for x
    x = 128,252,948,940.48/402,770.68
  6. Step 6: Final answer
    x = 318,426.73

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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.