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Finding the Fourth Proportional to 439,710.72, 659,679.79 and 257,495.40

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Solution

The fourth proportional to 439,710.72, 659,679.79 and 257,495.40 is: 386,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,710.72 : 659,679.79 = 257,495.40 : x
  2. Step 2: Convert to fraction form
    439,710.72/659,679.79 = 257,495.40/x
  3. Step 3: Cross multiply
    439,710.72x = 659,679.79 × 257,495.40
  4. Step 4: Simplify right side
    439,710.72x = 169,864,511,764.53
  5. Step 5: Solve for x
    x = 169,864,511,764.53/439,710.72
  6. Step 6: Final answer
    x = 386,309.69

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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.