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Finding the Fourth Proportional to 491,012, 735,490.07 and 395,702.54

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Solution

The fourth proportional to 491,012, 735,490.07 and 395,702.54 is: 592,725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,012 : 735,490.07 = 395,702.54 : x
  2. Step 2: Convert to fraction form
    491,012/735,490.07 = 395,702.54/x
  3. Step 3: Cross multiply
    491,012x = 735,490.07 × 395,702.54
  4. Step 4: Simplify right side
    491,012x = 291,035,288,843.78
  5. Step 5: Solve for x
    x = 291,035,288,843.78/491,012
  6. Step 6: Final answer
    x = 592,725.41

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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.