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Finding the Fourth Proportional to 284,272.64, 392,293.83 and 156,945.50

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Solution

The fourth proportional to 284,272.64, 392,293.83 and 156,945.50 is: 216,583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,272.64 : 392,293.83 = 156,945.50 : x
  2. Step 2: Convert to fraction form
    284,272.64/392,293.83 = 156,945.50/x
  3. Step 3: Cross multiply
    284,272.64x = 392,293.83 × 156,945.50
  4. Step 4: Simplify right side
    284,272.64x = 61,568,751,296.27
  5. Step 5: Solve for x
    x = 61,568,751,296.27/284,272.64
  6. Step 6: Final answer
    x = 216,583.46

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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.