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Finding the Fourth Proportional to 459,506.80, 689,260.44 and 143,988.40

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Solution

The fourth proportional to 459,506.80, 689,260.44 and 143,988.40 is: 215,982.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,506.80 : 689,260.44 = 143,988.40 : x
  2. Step 2: Convert to fraction form
    459,506.80/689,260.44 = 143,988.40/x
  3. Step 3: Cross multiply
    459,506.80x = 689,260.44 × 143,988.40
  4. Step 4: Simplify right side
    459,506.80x = 99,245,507,938.90
  5. Step 5: Solve for x
    x = 99,245,507,938.90/459,506.80
  6. Step 6: Final answer
    x = 215,982.68

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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.