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Finding the Fourth Proportional to 439,403.82, 659,204.58 and 155,114.58

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Solution

The fourth proportional to 439,403.82, 659,204.58 and 155,114.58 is: 232,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,403.82 : 659,204.58 = 155,114.58 : x
  2. Step 2: Convert to fraction form
    439,403.82/659,204.58 = 155,114.58/x
  3. Step 3: Cross multiply
    439,403.82x = 659,204.58 × 155,114.58
  4. Step 4: Simplify right side
    439,403.82x = 102,252,241,560.78
  5. Step 5: Solve for x
    x = 102,252,241,560.78/439,403.82
  6. Step 6: Final answer
    x = 232,706.77

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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.