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Finding the Fourth Proportional to 288,146.34, 432,371.79 and 204,447.42

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Solution

The fourth proportional to 288,146.34, 432,371.79 and 204,447.42 is: 306,779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,146.34 : 432,371.79 = 204,447.42 : x
  2. Step 2: Convert to fraction form
    288,146.34/432,371.79 = 204,447.42/x
  3. Step 3: Cross multiply
    288,146.34x = 432,371.79 × 204,447.42
  4. Step 4: Simplify right side
    288,146.34x = 88,397,296,946.28
  5. Step 5: Solve for x
    x = 88,397,296,946.28/288,146.34
  6. Step 6: Final answer
    x = 306,779.18

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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.