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Finding the Fourth Proportional to 213,390.92, 294,229.68 and 145,448.12

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Solution

The fourth proportional to 213,390.92, 294,229.68 and 145,448.12 is: 200,548.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,390.92 : 294,229.68 = 145,448.12 : x
  2. Step 2: Convert to fraction form
    213,390.92/294,229.68 = 145,448.12/x
  3. Step 3: Cross multiply
    213,390.92x = 294,229.68 × 145,448.12
  4. Step 4: Simplify right side
    213,390.92x = 42,795,153,804.20
  5. Step 5: Solve for x
    x = 42,795,153,804.20/213,390.92
  6. Step 6: Final answer
    x = 200,548.15

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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.