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Finding the Fourth Proportional to 228,494.22, 342,646.72 and 86,315.24

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Solution

The fourth proportional to 228,494.22, 342,646.72 and 86,315.24 is: 129,437.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,494.22 : 342,646.72 = 86,315.24 : x
  2. Step 2: Convert to fraction form
    228,494.22/342,646.72 = 86,315.24/x
  3. Step 3: Cross multiply
    228,494.22x = 342,646.72 × 86,315.24
  4. Step 4: Simplify right side
    228,494.22x = 29,575,633,872.01
  5. Step 5: Solve for x
    x = 29,575,633,872.01/228,494.22
  6. Step 6: Final answer
    x = 129,437.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.