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Finding the Fourth Proportional to 493,234.80, 740,197.80 and 212,953.20

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Solution

The fourth proportional to 493,234.80, 740,197.80 and 212,953.20 is: 319,579.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,234.80 : 740,197.80 = 212,953.20 : x
  2. Step 2: Convert to fraction form
    493,234.80/740,197.80 = 212,953.20/x
  3. Step 3: Cross multiply
    493,234.80x = 740,197.80 × 212,953.20
  4. Step 4: Simplify right side
    493,234.80x = 157,627,490,142.96
  5. Step 5: Solve for x
    x = 157,627,490,142.96/493,234.80
  6. Step 6: Final answer
    x = 319,579.01

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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.