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Finding the Fourth Proportional to 261,530.80, 359,779.88 and 229,119.44

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Solution

The fourth proportional to 261,530.80, 359,779.88 and 229,119.44 is: 315,192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,530.80 : 359,779.88 = 229,119.44 : x
  2. Step 2: Convert to fraction form
    261,530.80/359,779.88 = 229,119.44/x
  3. Step 3: Cross multiply
    261,530.80x = 359,779.88 × 229,119.44
  4. Step 4: Simplify right side
    261,530.80x = 82,432,564,628.87
  5. Step 5: Solve for x
    x = 82,432,564,628.87/261,530.80
  6. Step 6: Final answer
    x = 315,192.57

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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.