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Finding the Fourth Proportional to 386,782.52, 533,783.40 and 257,497.88

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Solution

The fourth proportional to 386,782.52, 533,783.40 and 257,497.88 is: 355,362.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,782.52 : 533,783.40 = 257,497.88 : x
  2. Step 2: Convert to fraction form
    386,782.52/533,783.40 = 257,497.88/x
  3. Step 3: Cross multiply
    386,782.52x = 533,783.40 × 257,497.88
  4. Step 4: Simplify right side
    386,782.52x = 137,448,093,879.19
  5. Step 5: Solve for x
    x = 137,448,093,879.19/386,782.52
  6. Step 6: Final answer
    x = 355,362.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.