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Finding the Fourth Proportional to 284,272.14, 392,293.14 and 156,945

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Solution

The fourth proportional to 284,272.14, 392,293.14 and 156,945 is: 216,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,272.14 : 392,293.14 = 156,945 : x
  2. Step 2: Convert to fraction form
    284,272.14/392,293.14 = 156,945/x
  3. Step 3: Cross multiply
    284,272.14x = 392,293.14 × 156,945
  4. Step 4: Simplify right side
    284,272.14x = 61,568,446,857.30
  5. Step 5: Solve for x
    x = 61,568,446,857.30/284,272.14
  6. Step 6: Final answer
    x = 216,582.77

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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.