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Finding the Fourth Proportional to 490,887.36, 736,340.15 and 153,920.48

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Solution

The fourth proportional to 490,887.36, 736,340.15 and 153,920.48 is: 230,883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,887.36 : 736,340.15 = 153,920.48 : x
  2. Step 2: Convert to fraction form
    490,887.36/736,340.15 = 153,920.48/x
  3. Step 3: Cross multiply
    490,887.36x = 736,340.15 × 153,920.48
  4. Step 4: Simplify right side
    490,887.36x = 113,337,826,034.37
  5. Step 5: Solve for x
    x = 113,337,826,034.37/490,887.36
  6. Step 6: Final answer
    x = 230,883.57

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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.