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Finding the Fourth Proportional to 603,472, 905,208 and 154,193.88

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Solution

The fourth proportional to 603,472, 905,208 and 154,193.88 is: 231,290.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,472 : 905,208 = 154,193.88 : x
  2. Step 2: Convert to fraction form
    603,472/905,208 = 154,193.88/x
  3. Step 3: Cross multiply
    603,472x = 905,208 × 154,193.88
  4. Step 4: Simplify right side
    603,472x = 139,577,533,727.04
  5. Step 5: Solve for x
    x = 139,577,533,727.04/603,472
  6. Step 6: Final answer
    x = 231,290.82

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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.