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Finding the Fourth Proportional to 705,691.80, 1,057,308.90 and 456,245.40

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Solution

The fourth proportional to 705,691.80, 1,057,308.90 and 456,245.40 is: 683,573.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,691.80 : 1,057,308.90 = 456,245.40 : x
  2. Step 2: Convert to fraction form
    705,691.80/1,057,308.90 = 456,245.40/x
  3. Step 3: Cross multiply
    705,691.80x = 1,057,308.90 × 456,245.40
  4. Step 4: Simplify right side
    705,691.80x = 482,392,322,004.06
  5. Step 5: Solve for x
    x = 482,392,322,004.06/705,691.80
  6. Step 6: Final answer
    x = 683,573.65

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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.