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Finding the Fourth Proportional to 543,018.30, 814,138.65 and 227,312.70

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Solution

The fourth proportional to 543,018.30, 814,138.65 and 227,312.70 is: 340,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,018.30 : 814,138.65 = 227,312.70 : x
  2. Step 2: Convert to fraction form
    543,018.30/814,138.65 = 227,312.70/x
  3. Step 3: Cross multiply
    543,018.30x = 814,138.65 × 227,312.70
  4. Step 4: Simplify right side
    543,018.30x = 185,064,054,705.86
  5. Step 5: Solve for x
    x = 185,064,054,705.86/543,018.30
  6. Step 6: Final answer
    x = 340,806.29

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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.