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Finding the Fourth Proportional to 458,738.87, 688,108.30 and 143,222.81

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Solution

The fourth proportional to 458,738.87, 688,108.30 and 143,222.81 is: 214,834.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,738.87 : 688,108.30 = 143,222.81 : x
  2. Step 2: Convert to fraction form
    458,738.87/688,108.30 = 143,222.81/x
  3. Step 3: Cross multiply
    458,738.87x = 688,108.30 × 143,222.81
  4. Step 4: Simplify right side
    458,738.87x = 98,552,800,511.72
  5. Step 5: Solve for x
    x = 98,552,800,511.72/458,738.87
  6. Step 6: Final answer
    x = 214,834.21

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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.