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Finding the Fourth Proportional to 229,134.80, 343,313.40 and 189,477.20

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Solution

The fourth proportional to 229,134.80, 343,313.40 and 189,477.20 is: 283,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,134.80 : 343,313.40 = 189,477.20 : x
  2. Step 2: Convert to fraction form
    229,134.80/343,313.40 = 189,477.20/x
  3. Step 3: Cross multiply
    229,134.80x = 343,313.40 × 189,477.20
  4. Step 4: Simplify right side
    229,134.80x = 65,050,061,754.48
  5. Step 5: Solve for x
    x = 65,050,061,754.48/229,134.80
  6. Step 6: Final answer
    x = 283,894.29

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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.