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Finding the Fourth Proportional to 317,149.02, 437,652.72 and 189,748.98

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Solution

The fourth proportional to 317,149.02, 437,652.72 and 189,748.98 is: 261,845.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,149.02 : 437,652.72 = 189,748.98 : x
  2. Step 2: Convert to fraction form
    317,149.02/437,652.72 = 189,748.98/x
  3. Step 3: Cross multiply
    317,149.02x = 437,652.72 × 189,748.98
  4. Step 4: Simplify right side
    317,149.02x = 83,044,157,214.23
  5. Step 5: Solve for x
    x = 83,044,157,214.23/317,149.02
  6. Step 6: Final answer
    x = 261,845.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.