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Finding the Fourth Proportional to 229,218.90, 343,828.35 and 205,113.30

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Solution

The fourth proportional to 229,218.90, 343,828.35 and 205,113.30 is: 307,669.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,218.90 : 343,828.35 = 205,113.30 : x
  2. Step 2: Convert to fraction form
    229,218.90/343,828.35 = 205,113.30/x
  3. Step 3: Cross multiply
    229,218.90x = 343,828.35 × 205,113.30
  4. Step 4: Simplify right side
    229,218.90x = 70,523,767,502.06
  5. Step 5: Solve for x
    x = 70,523,767,502.06/229,218.90
  6. Step 6: Final answer
    x = 307,669.95

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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.