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Finding the Fourth Proportional to 229,217.60, 343,826.40 and 209,518.40

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Solution

The fourth proportional to 229,217.60, 343,826.40 and 209,518.40 is: 314,277.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,217.60 : 343,826.40 = 209,518.40 : x
  2. Step 2: Convert to fraction form
    229,217.60/343,826.40 = 209,518.40/x
  3. Step 3: Cross multiply
    229,217.60x = 343,826.40 × 209,518.40
  4. Step 4: Simplify right side
    229,217.60x = 72,037,957,205.76
  5. Step 5: Solve for x
    x = 72,037,957,205.76/229,217.60
  6. Step 6: Final answer
    x = 314,277.60

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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.