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Finding the Fourth Proportional to 459,122, 688,288.58 and 159,563.66

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Solution

The fourth proportional to 459,122, 688,288.58 and 159,563.66 is: 239,208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,122 : 688,288.58 = 159,563.66 : x
  2. Step 2: Convert to fraction form
    459,122/688,288.58 = 159,563.66/x
  3. Step 3: Cross multiply
    459,122x = 688,288.58 × 159,563.66
  4. Step 4: Simplify right side
    459,122x = 109,825,844,163.19
  5. Step 5: Solve for x
    x = 109,825,844,163.19/459,122
  6. Step 6: Final answer
    x = 239,208.41

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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.