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Finding the Fourth Proportional to 214,543.60, 321,815.40 and 204,702.10

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Solution

The fourth proportional to 214,543.60, 321,815.40 and 204,702.10 is: 307,053.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,543.60 : 321,815.40 = 204,702.10 : x
  2. Step 2: Convert to fraction form
    214,543.60/321,815.40 = 204,702.10/x
  3. Step 3: Cross multiply
    214,543.60x = 321,815.40 × 204,702.10
  4. Step 4: Simplify right side
    214,543.60x = 65,876,288,192.34
  5. Step 5: Solve for x
    x = 65,876,288,192.34/214,543.60
  6. Step 6: Final answer
    x = 307,053.15

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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.