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Finding the Fourth Proportional to 507,385.83, 761,114.21 and 203,780.01

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Solution

The fourth proportional to 507,385.83, 761,114.21 and 203,780.01 is: 305,684.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,385.83 : 761,114.21 = 203,780.01 : x
  2. Step 2: Convert to fraction form
    507,385.83/761,114.21 = 203,780.01/x
  3. Step 3: Cross multiply
    507,385.83x = 761,114.21 × 203,780.01
  4. Step 4: Simplify right side
    507,385.83x = 155,099,860,306.04
  5. Step 5: Solve for x
    x = 155,099,860,306.04/507,385.83
  6. Step 6: Final answer
    x = 305,684.26

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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.