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Finding the Fourth Proportional to 543,221.89, 749,640.80 and 301,498.25

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Solution

The fourth proportional to 543,221.89, 749,640.80 and 301,498.25 is: 416,064.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,221.89 : 749,640.80 = 301,498.25 : x
  2. Step 2: Convert to fraction form
    543,221.89/749,640.80 = 301,498.25/x
  3. Step 3: Cross multiply
    543,221.89x = 749,640.80 × 301,498.25
  4. Step 4: Simplify right side
    543,221.89x = 226,015,389,702.91
  5. Step 5: Solve for x
    x = 226,015,389,702.91/543,221.89
  6. Step 6: Final answer
    x = 416,064.58

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.