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Finding the Fourth Proportional to 257,804.50, 386,691.21 and 153,288.58

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Solution

The fourth proportional to 257,804.50, 386,691.21 and 153,288.58 is: 229,923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,804.50 : 386,691.21 = 153,288.58 : x
  2. Step 2: Convert to fraction form
    257,804.50/386,691.21 = 153,288.58/x
  3. Step 3: Cross multiply
    257,804.50x = 386,691.21 × 153,288.58
  4. Step 4: Simplify right side
    257,804.50x = 59,275,346,479.38
  5. Step 5: Solve for x
    x = 59,275,346,479.38/257,804.50
  6. Step 6: Final answer
    x = 229,923.63

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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.