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Finding the Fourth Proportional to 490,347, 735,520.54 and 157,923

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Solution

The fourth proportional to 490,347, 735,520.54 and 157,923 is: 236,884.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,347 : 735,520.54 = 157,923 : x
  2. Step 2: Convert to fraction form
    490,347/735,520.54 = 157,923/x
  3. Step 3: Cross multiply
    490,347x = 735,520.54 × 157,923
  4. Step 4: Simplify right side
    490,347x = 116,155,610,238.42
  5. Step 5: Solve for x
    x = 116,155,610,238.42/490,347
  6. Step 6: Final answer
    x = 236,884.51

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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.