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Finding the Fourth Proportional to 230,574.54, 343,569.70 and 205,421.31

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Solution

The fourth proportional to 230,574.54, 343,569.70 and 205,421.31 is: 306,089.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,574.54 : 343,569.70 = 205,421.31 : x
  2. Step 2: Convert to fraction form
    230,574.54/343,569.70 = 205,421.31/x
  3. Step 3: Cross multiply
    230,574.54x = 343,569.70 × 205,421.31
  4. Step 4: Simplify right side
    230,574.54x = 70,576,537,336.75
  5. Step 5: Solve for x
    x = 70,576,537,336.75/230,574.54
  6. Step 6: Final answer
    x = 306,089.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.