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Finding the Fourth Proportional to 209,410, 314,215.80 and 104,238.16

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Solution

The fourth proportional to 209,410, 314,215.80 and 104,238.16 is: 156,407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,410 : 314,215.80 = 104,238.16 : x
  2. Step 2: Convert to fraction form
    209,410/314,215.80 = 104,238.16/x
  3. Step 3: Cross multiply
    209,410x = 314,215.80 × 104,238.16
  4. Step 4: Simplify right side
    209,410x = 32,753,276,834.93
  5. Step 5: Solve for x
    x = 32,753,276,834.93/209,410
  6. Step 6: Final answer
    x = 156,407.42

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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.