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Finding the Fourth Proportional to 209,609.40, 315,826.44 and 172,989.71

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Solution

The fourth proportional to 209,609.40, 315,826.44 and 172,989.71 is: 260,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,609.40 : 315,826.44 = 172,989.71 : x
  2. Step 2: Convert to fraction form
    209,609.40/315,826.44 = 172,989.71/x
  3. Step 3: Cross multiply
    209,609.40x = 315,826.44 × 172,989.71
  4. Step 4: Simplify right side
    209,609.40x = 54,634,724,195.51
  5. Step 5: Solve for x
    x = 54,634,724,195.51/209,609.40
  6. Step 6: Final answer
    x = 260,650.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.