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Finding the Fourth Proportional to 257,949.77, 386,574.71 and 145,574.42

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Solution

The fourth proportional to 257,949.77, 386,574.71 and 145,574.42 is: 218,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,949.77 : 386,574.71 = 145,574.42 : x
  2. Step 2: Convert to fraction form
    257,949.77/386,574.71 = 145,574.42/x
  3. Step 3: Cross multiply
    257,949.77x = 386,574.71 × 145,574.42
  4. Step 4: Simplify right side
    257,949.77x = 56,275,388,467.05
  5. Step 5: Solve for x
    x = 56,275,388,467.05/257,949.77
  6. Step 6: Final answer
    x = 218,164.14

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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.