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Finding the Fourth Proportional to 284,287.26, 392,299.50 and 155,199.96

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Solution

The fourth proportional to 284,287.26, 392,299.50 and 155,199.96 is: 214,166.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,287.26 : 392,299.50 = 155,199.96 : x
  2. Step 2: Convert to fraction form
    284,287.26/392,299.50 = 155,199.96/x
  3. Step 3: Cross multiply
    284,287.26x = 392,299.50 × 155,199.96
  4. Step 4: Simplify right side
    284,287.26x = 60,884,866,708.02
  5. Step 5: Solve for x
    x = 60,884,866,708.02/284,287.26
  6. Step 6: Final answer
    x = 214,166.71

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1.5x scale

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.