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Finding the Fourth Proportional to 282,369.64, 389,674.66 and 155,057

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Solution

The fourth proportional to 282,369.64, 389,674.66 and 155,057 is: 213,981.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,369.64 : 389,674.66 = 155,057 : x
  2. Step 2: Convert to fraction form
    282,369.64/389,674.66 = 155,057/x
  3. Step 3: Cross multiply
    282,369.64x = 389,674.66 × 155,057
  4. Step 4: Simplify right side
    282,369.64x = 60,421,783,755.62
  5. Step 5: Solve for x
    x = 60,421,783,755.62/282,369.64
  6. Step 6: Final answer
    x = 213,981.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.