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Finding the Fourth Proportional to 209,409, 314,214.30 and 104,237.16

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Solution

The fourth proportional to 209,409, 314,214.30 and 104,237.16 is: 156,405.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,409 : 314,214.30 = 104,237.16 : x
  2. Step 2: Convert to fraction form
    209,409/314,214.30 = 104,237.16/x
  3. Step 3: Cross multiply
    209,409x = 314,214.30 × 104,237.16
  4. Step 4: Simplify right side
    209,409x = 32,752,806,263.39
  5. Step 5: Solve for x
    x = 32,752,806,263.39/209,409
  6. Step 6: Final answer
    x = 156,405.92

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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.