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Finding the Fourth Proportional to 209,785.91, 289,820.90 and 169,429.61

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Solution

The fourth proportional to 209,785.91, 289,820.90 and 169,429.61 is: 234,068.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,785.91 : 289,820.90 = 169,429.61 : x
  2. Step 2: Convert to fraction form
    209,785.91/289,820.90 = 169,429.61/x
  3. Step 3: Cross multiply
    209,785.91x = 289,820.90 × 169,429.61
  4. Step 4: Simplify right side
    209,785.91x = 49,104,243,204.98
  5. Step 5: Solve for x
    x = 49,104,243,204.98/209,785.91
  6. Step 6: Final answer
    x = 234,068.36

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1.5x scale

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.