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Finding the Fourth Proportional to 385,203.66, 577,928.51 and 185,544.24

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Solution

The fourth proportional to 385,203.66, 577,928.51 and 185,544.24 is: 278,375.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,203.66 : 577,928.51 = 185,544.24 : x
  2. Step 2: Convert to fraction form
    385,203.66/577,928.51 = 185,544.24/x
  3. Step 3: Cross multiply
    385,203.66x = 577,928.51 × 185,544.24
  4. Step 4: Simplify right side
    385,203.66x = 107,231,306,162.28
  5. Step 5: Solve for x
    x = 107,231,306,162.28/385,203.66
  6. Step 6: Final answer
    x = 278,375.62

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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.