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Finding the Fourth Proportional to 257,530.52, 386,221.88 and 77,633.48

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Solution

The fourth proportional to 257,530.52, 386,221.88 and 77,633.48 is: 116,427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,530.52 : 386,221.88 = 77,633.48 : x
  2. Step 2: Convert to fraction form
    257,530.52/386,221.88 = 77,633.48/x
  3. Step 3: Cross multiply
    257,530.52x = 386,221.88 × 77,633.48
  4. Step 4: Simplify right side
    257,530.52x = 29,983,748,596.54
  5. Step 5: Solve for x
    x = 29,983,748,596.54/257,530.52
  6. Step 6: Final answer
    x = 116,427.94

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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.