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Finding the Fourth Proportional to 437,102.93, 655,488.32 and 209,164.57

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Solution

The fourth proportional to 437,102.93, 655,488.32 and 209,164.57 is: 313,667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,102.93 : 655,488.32 = 209,164.57 : x
  2. Step 2: Convert to fraction form
    437,102.93/655,488.32 = 209,164.57/x
  3. Step 3: Cross multiply
    437,102.93x = 655,488.32 × 209,164.57
  4. Step 4: Simplify right side
    437,102.93x = 137,104,934,958.39
  5. Step 5: Solve for x
    x = 137,104,934,958.39/437,102.93
  6. Step 6: Final answer
    x = 313,667.39

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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.