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Finding the Fourth Proportional to 402,434.94, 555,315.48 and 321,833.10

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Solution

The fourth proportional to 402,434.94, 555,315.48 and 321,833.10 is: 444,093.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,434.94 : 555,315.48 = 321,833.10 : x
  2. Step 2: Convert to fraction form
    402,434.94/555,315.48 = 321,833.10/x
  3. Step 3: Cross multiply
    402,434.94x = 555,315.48 × 321,833.10
  4. Step 4: Simplify right side
    402,434.94x = 178,718,902,406.39
  5. Step 5: Solve for x
    x = 178,718,902,406.39/402,434.94
  6. Step 6: Final answer
    x = 444,093.90

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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.