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Finding the Fourth Proportional to 439,712.72, 659,682.79 and 257,497.40

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Solution

The fourth proportional to 439,712.72, 659,682.79 and 257,497.40 is: 386,312.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,712.72 : 659,682.79 = 257,497.40 : x
  2. Step 2: Convert to fraction form
    439,712.72/659,682.79 = 257,497.40/x
  3. Step 3: Cross multiply
    439,712.72x = 659,682.79 × 257,497.40
  4. Step 4: Simplify right side
    439,712.72x = 169,866,603,249.75
  5. Step 5: Solve for x
    x = 169,866,603,249.75/439,712.72
  6. Step 6: Final answer
    x = 386,312.69

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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.