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Finding the Fourth Proportional to 603,101.50, 905,066.97 and 209,117.50

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Solution

The fourth proportional to 603,101.50, 905,066.97 and 209,117.50 is: 313,820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,101.50 : 905,066.97 = 209,117.50 : x
  2. Step 2: Convert to fraction form
    603,101.50/905,066.97 = 209,117.50/x
  3. Step 3: Cross multiply
    603,101.50x = 905,066.97 × 209,117.50
  4. Step 4: Simplify right side
    603,101.50x = 189,265,342,098.98
  5. Step 5: Solve for x
    x = 189,265,342,098.98/603,101.50
  6. Step 6: Final answer
    x = 313,820.05

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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.