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Finding the Fourth Proportional to 209,411, 314,217.30 and 104,239.16

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Solution

The fourth proportional to 209,411, 314,217.30 and 104,239.16 is: 156,408.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,411 : 314,217.30 = 104,239.16 : x
  2. Step 2: Convert to fraction form
    209,411/314,217.30 = 104,239.16/x
  3. Step 3: Cross multiply
    209,411x = 314,217.30 × 104,239.16
  4. Step 4: Simplify right side
    209,411x = 32,753,747,409.47
  5. Step 5: Solve for x
    x = 32,753,747,409.47/209,411
  6. Step 6: Final answer
    x = 156,408.92

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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.