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Finding the Fourth Proportional to 603,101, 905,066.22 and 209,117

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Solution

The fourth proportional to 603,101, 905,066.22 and 209,117 is: 313,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,101 : 905,066.22 = 209,117 : x
  2. Step 2: Convert to fraction form
    603,101/905,066.22 = 209,117/x
  3. Step 3: Cross multiply
    603,101x = 905,066.22 × 209,117
  4. Step 4: Simplify right side
    603,101x = 189,264,732,727.74
  5. Step 5: Solve for x
    x = 189,264,732,727.74/603,101
  6. Step 6: Final answer
    x = 313,819.30

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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.