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Finding the Fourth Proportional to 298,543.88, 411,555.30 and 226,799.36

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Solution

The fourth proportional to 298,543.88, 411,555.30 and 226,799.36 is: 312,652.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,543.88 : 411,555.30 = 226,799.36 : x
  2. Step 2: Convert to fraction form
    298,543.88/411,555.30 = 226,799.36/x
  3. Step 3: Cross multiply
    298,543.88x = 411,555.30 × 226,799.36
  4. Step 4: Simplify right side
    298,543.88x = 93,340,478,644.61
  5. Step 5: Solve for x
    x = 93,340,478,644.61/298,543.88
  6. Step 6: Final answer
    x = 312,652.46

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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.