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Finding the Fourth Proportional to 490,709.76, 736,142.40 and 158,208

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Solution

The fourth proportional to 490,709.76, 736,142.40 and 158,208 is: 237,337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,709.76 : 736,142.40 = 158,208 : x
  2. Step 2: Convert to fraction form
    490,709.76/736,142.40 = 158,208/x
  3. Step 3: Cross multiply
    490,709.76x = 736,142.40 × 158,208
  4. Step 4: Simplify right side
    490,709.76x = 116,463,616,819.20
  5. Step 5: Solve for x
    x = 116,463,616,819.20/490,709.76
  6. Step 6: Final answer
    x = 237,337.07

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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.