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Finding the Fourth Proportional to 456,642.87, 685,124.22 and 141,099.77

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Solution

The fourth proportional to 456,642.87, 685,124.22 and 141,099.77 is: 211,699.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,642.87 : 685,124.22 = 141,099.77 : x
  2. Step 2: Convert to fraction form
    456,642.87/685,124.22 = 141,099.77/x
  3. Step 3: Cross multiply
    456,642.87x = 685,124.22 × 141,099.77
  4. Step 4: Simplify right side
    456,642.87x = 96,670,872,105.36
  5. Step 5: Solve for x
    x = 96,670,872,105.36/456,642.87
  6. Step 6: Final answer
    x = 211,699.07

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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.