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Finding the Fourth Proportional to 288,149.34, 432,376.29 and 204,450.42

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Solution

The fourth proportional to 288,149.34, 432,376.29 and 204,450.42 is: 306,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,149.34 : 432,376.29 = 204,450.42 : x
  2. Step 2: Convert to fraction form
    288,149.34/432,376.29 = 204,450.42/x
  3. Step 3: Cross multiply
    288,149.34x = 432,376.29 × 204,450.42
  4. Step 4: Simplify right side
    288,149.34x = 88,399,514,088.54
  5. Step 5: Solve for x
    x = 88,399,514,088.54/288,149.34
  6. Step 6: Final answer
    x = 306,783.68

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1.5x scale

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.