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Finding the Fourth Proportional to 328,742.70, 493,114.05 and 187,025.10

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Solution

The fourth proportional to 328,742.70, 493,114.05 and 187,025.10 is: 280,537.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,742.70 : 493,114.05 = 187,025.10 : x
  2. Step 2: Convert to fraction form
    328,742.70/493,114.05 = 187,025.10/x
  3. Step 3: Cross multiply
    328,742.70x = 493,114.05 × 187,025.10
  4. Step 4: Simplify right side
    328,742.70x = 92,224,704,512.66
  5. Step 5: Solve for x
    x = 92,224,704,512.66/328,742.70
  6. Step 6: Final answer
    x = 280,537.65

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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.