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Finding the Fourth Proportional to 603,098, 905,061.72 and 209,114

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Solution

The fourth proportional to 603,098, 905,061.72 and 209,114 is: 313,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,098 : 905,061.72 = 209,114 : x
  2. Step 2: Convert to fraction form
    603,098/905,061.72 = 209,114/x
  3. Step 3: Cross multiply
    603,098x = 905,061.72 × 209,114
  4. Step 4: Simplify right side
    603,098x = 189,261,076,516.08
  5. Step 5: Solve for x
    x = 189,261,076,516.08/603,098
  6. Step 6: Final answer
    x = 313,814.80

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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.