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Finding the Fourth Proportional to 522,584.88, 721,146.72 and 296,225.52

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Solution

The fourth proportional to 522,584.88, 721,146.72 and 296,225.52 is: 408,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,584.88 : 721,146.72 = 296,225.52 : x
  2. Step 2: Convert to fraction form
    522,584.88/721,146.72 = 296,225.52/x
  3. Step 3: Cross multiply
    522,584.88x = 721,146.72 × 296,225.52
  4. Step 4: Simplify right side
    522,584.88x = 213,622,062,128.29
  5. Step 5: Solve for x
    x = 213,622,062,128.29/522,584.88
  6. Step 6: Final answer
    x = 408,779.65

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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.