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Finding the Fourth Proportional to 459,173.80, 688,806.06 and 143,636.68

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Solution

The fourth proportional to 459,173.80, 688,806.06 and 143,636.68 is: 215,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,173.80 : 688,806.06 = 143,636.68 : x
  2. Step 2: Convert to fraction form
    459,173.80/688,806.06 = 143,636.68/x
  3. Step 3: Cross multiply
    459,173.80x = 688,806.06 × 143,636.68
  4. Step 4: Simplify right side
    459,173.80x = 98,937,815,622.28
  5. Step 5: Solve for x
    x = 98,937,815,622.28/459,173.80
  6. Step 6: Final answer
    x = 215,469.21

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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.