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Finding the Fourth Proportional to 289,162.78, 432,961.71 and 204,574.48

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Solution

The fourth proportional to 289,162.78, 432,961.71 and 204,574.48 is: 306,308.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,162.78 : 432,961.71 = 204,574.48 : x
  2. Step 2: Convert to fraction form
    289,162.78/432,961.71 = 204,574.48/x
  3. Step 3: Cross multiply
    289,162.78x = 432,961.71 × 204,574.48
  4. Step 4: Simplify right side
    289,162.78x = 88,572,916,683.16
  5. Step 5: Solve for x
    x = 88,572,916,683.16/289,162.78
  6. Step 6: Final answer
    x = 306,308.15

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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.