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Finding the Fourth Proportional to 230,022.40, 344,828.80 and 205,139.20

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Solution

The fourth proportional to 230,022.40, 344,828.80 and 205,139.20 is: 307,526.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,022.40 : 344,828.80 = 205,139.20 : x
  2. Step 2: Convert to fraction form
    230,022.40/344,828.80 = 205,139.20/x
  3. Step 3: Cross multiply
    230,022.40x = 344,828.80 × 205,139.20
  4. Step 4: Simplify right side
    230,022.40x = 70,737,904,168.96
  5. Step 5: Solve for x
    x = 70,737,904,168.96/230,022.40
  6. Step 6: Final answer
    x = 307,526.15

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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.