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Finding the Fourth Proportional to 385,458.36, 578,185.71 and 257,103.33

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Solution

The fourth proportional to 385,458.36, 578,185.71 and 257,103.33 is: 385,653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,458.36 : 578,185.71 = 257,103.33 : x
  2. Step 2: Convert to fraction form
    385,458.36/578,185.71 = 257,103.33/x
  3. Step 3: Cross multiply
    385,458.36x = 578,185.71 × 257,103.33
  4. Step 4: Simplify right side
    385,458.36x = 148,653,471,399.41
  5. Step 5: Solve for x
    x = 148,653,471,399.41/385,458.36
  6. Step 6: Final answer
    x = 385,653.77

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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.