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Finding the Fourth Proportional to 490,023.28, 734,568.36 and 157,366

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Solution

The fourth proportional to 490,023.28, 734,568.36 and 157,366 is: 235,899.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,023.28 : 734,568.36 = 157,366 : x
  2. Step 2: Convert to fraction form
    490,023.28/734,568.36 = 157,366/x
  3. Step 3: Cross multiply
    490,023.28x = 734,568.36 × 157,366
  4. Step 4: Simplify right side
    490,023.28x = 115,596,084,539.76
  5. Step 5: Solve for x
    x = 115,596,084,539.76/490,023.28
  6. Step 6: Final answer
    x = 235,899.17

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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.