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Finding the Fourth Proportional to 709,687.90, 1,064,546.80 and 254,308.82

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Solution

The fourth proportional to 709,687.90, 1,064,546.80 and 254,308.82 is: 381,468.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,687.90 : 1,064,546.80 = 254,308.82 : x
  2. Step 2: Convert to fraction form
    709,687.90/1,064,546.80 = 254,308.82/x
  3. Step 3: Cross multiply
    709,687.90x = 1,064,546.80 × 254,308.82
  4. Step 4: Simplify right side
    709,687.90x = 270,723,636,014.76
  5. Step 5: Solve for x
    x = 270,723,636,014.76/709,687.90
  6. Step 6: Final answer
    x = 381,468.58

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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.