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Finding the Fourth Proportional to 272,301.22, 408,397.84 and 258,798.82

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Solution

The fourth proportional to 272,301.22, 408,397.84 and 258,798.82 is: 388,146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,301.22 : 408,397.84 = 258,798.82 : x
  2. Step 2: Convert to fraction form
    272,301.22/408,397.84 = 258,798.82/x
  3. Step 3: Cross multiply
    272,301.22x = 408,397.84 × 258,798.82
  4. Step 4: Simplify right side
    272,301.22x = 105,692,879,082.55
  5. Step 5: Solve for x
    x = 105,692,879,082.55/272,301.22
  6. Step 6: Final answer
    x = 388,146.92

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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.