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Finding the Fourth Proportional to 284,409.63, 426,614.45 and 74,047.77

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Solution

The fourth proportional to 284,409.63, 426,614.45 and 74,047.77 is: 111,071.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,409.63 : 426,614.45 = 74,047.77 : x
  2. Step 2: Convert to fraction form
    284,409.63/426,614.45 = 74,047.77/x
  3. Step 3: Cross multiply
    284,409.63x = 426,614.45 × 74,047.77
  4. Step 4: Simplify right side
    284,409.63x = 31,589,848,302.04
  5. Step 5: Solve for x
    x = 31,589,848,302.04/284,409.63
  6. Step 6: Final answer
    x = 111,071.66

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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.