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Finding the Fourth Proportional to 402,742.98, 555,229.35 and 321,347.66

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Solution

The fourth proportional to 402,742.98, 555,229.35 and 321,347.66 is: 443,016.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,742.98 : 555,229.35 = 321,347.66 : x
  2. Step 2: Convert to fraction form
    402,742.98/555,229.35 = 321,347.66/x
  3. Step 3: Cross multiply
    402,742.98x = 555,229.35 × 321,347.66
  4. Step 4: Simplify right side
    402,742.98x = 178,421,649,609.67
  5. Step 5: Solve for x
    x = 178,421,649,609.67/402,742.98
  6. Step 6: Final answer
    x = 443,016.16

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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.