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Finding the Fourth Proportional to 705,374.52, 1,057,920.30 and 345,390.30

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Solution

The fourth proportional to 705,374.52, 1,057,920.30 and 345,390.30 is: 518,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,374.52 : 1,057,920.30 = 345,390.30 : x
  2. Step 2: Convert to fraction form
    705,374.52/1,057,920.30 = 345,390.30/x
  3. Step 3: Cross multiply
    705,374.52x = 1,057,920.30 × 345,390.30
  4. Step 4: Simplify right side
    705,374.52x = 365,395,409,793.09
  5. Step 5: Solve for x
    x = 365,395,409,793.09/705,374.52
  6. Step 6: Final answer
    x = 518,016.17

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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.