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Finding the Fourth Proportional to 705,672.86, 1,058,349.71 and 326,385.47

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Solution

The fourth proportional to 705,672.86, 1,058,349.71 and 326,385.47 is: 489,504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,672.86 : 1,058,349.71 = 326,385.47 : x
  2. Step 2: Convert to fraction form
    705,672.86/1,058,349.71 = 326,385.47/x
  3. Step 3: Cross multiply
    705,672.86x = 1,058,349.71 × 326,385.47
  4. Step 4: Simplify right side
    705,672.86x = 345,429,960,599.04
  5. Step 5: Solve for x
    x = 345,429,960,599.04/705,672.86
  6. Step 6: Final answer
    x = 489,504.39

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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.