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Finding the Fourth Proportional to 231,779.80, 347,232.30 and 216,033.40

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Solution

The fourth proportional to 231,779.80, 347,232.30 and 216,033.40 is: 323,642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,779.80 : 347,232.30 = 216,033.40 : x
  2. Step 2: Convert to fraction form
    231,779.80/347,232.30 = 216,033.40/x
  3. Step 3: Cross multiply
    231,779.80x = 347,232.30 × 216,033.40
  4. Step 4: Simplify right side
    231,779.80x = 75,013,774,358.82
  5. Step 5: Solve for x
    x = 75,013,774,358.82/231,779.80
  6. Step 6: Final answer
    x = 323,642.42

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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.