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Finding the Fourth Proportional to 507,405.96, 761,144.76 and 203,800.32

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Solution

The fourth proportional to 507,405.96, 761,144.76 and 203,800.32 is: 305,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,405.96 : 761,144.76 = 203,800.32 : x
  2. Step 2: Convert to fraction form
    507,405.96/761,144.76 = 203,800.32/x
  3. Step 3: Cross multiply
    507,405.96x = 761,144.76 × 203,800.32
  4. Step 4: Simplify right side
    507,405.96x = 155,121,545,654.32
  5. Step 5: Solve for x
    x = 155,121,545,654.32/507,405.96
  6. Step 6: Final answer
    x = 305,714.87

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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.