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Finding the Fourth Proportional to 209,410.43, 314,115.69 and 146,353.72

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Solution

The fourth proportional to 209,410.43, 314,115.69 and 146,353.72 is: 219,530.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,410.43 : 314,115.69 = 146,353.72 : x
  2. Step 2: Convert to fraction form
    209,410.43/314,115.69 = 146,353.72/x
  3. Step 3: Cross multiply
    209,410.43x = 314,115.69 × 146,353.72
  4. Step 4: Simplify right side
    209,410.43x = 45,971,999,741.87
  5. Step 5: Solve for x
    x = 45,971,999,741.87/209,410.43
  6. Step 6: Final answer
    x = 219,530.61

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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.