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Finding the Fourth Proportional to 458,717.94, 688,052.52 and 143,138.70

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Solution

The fourth proportional to 458,717.94, 688,052.52 and 143,138.70 is: 214,700.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,717.94 : 688,052.52 = 143,138.70 : x
  2. Step 2: Convert to fraction form
    458,717.94/688,052.52 = 143,138.70/x
  3. Step 3: Cross multiply
    458,717.94x = 688,052.52 × 143,138.70
  4. Step 4: Simplify right side
    458,717.94x = 98,486,943,244.52
  5. Step 5: Solve for x
    x = 98,486,943,244.52/458,717.94
  6. Step 6: Final answer
    x = 214,700.44

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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.