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Finding the Fourth Proportional to 284,784.79, 427,113.84 and 82,336.69

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Solution

The fourth proportional to 284,784.79, 427,113.84 and 82,336.69 is: 123,486.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,784.79 : 427,113.84 = 82,336.69 : x
  2. Step 2: Convert to fraction form
    284,784.79/427,113.84 = 82,336.69/x
  3. Step 3: Cross multiply
    284,784.79x = 427,113.84 × 82,336.69
  4. Step 4: Simplify right side
    284,784.79x = 35,167,139,838.79
  5. Step 5: Solve for x
    x = 35,167,139,838.79/284,784.79
  6. Step 6: Final answer
    x = 123,486.72

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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.