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Finding the Fourth Proportional to 385,434, 577,908 and 185,804.64

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Solution

The fourth proportional to 385,434, 577,908 and 185,804.64 is: 278,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,434 : 577,908 = 185,804.64 : x
  2. Step 2: Convert to fraction form
    385,434/577,908 = 185,804.64/x
  3. Step 3: Cross multiply
    385,434x = 577,908 × 185,804.64
  4. Step 4: Simplify right side
    385,434x = 107,377,987,893.12
  5. Step 5: Solve for x
    x = 107,377,987,893.12/385,434
  6. Step 6: Final answer
    x = 278,589.82

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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.