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Finding the Fourth Proportional to 358,947.20, 495,128 and 213,655.36

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Solution

The fourth proportional to 358,947.20, 495,128 and 213,655.36 is: 294,713.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,947.20 : 495,128 = 213,655.36 : x
  2. Step 2: Convert to fraction form
    358,947.20/495,128 = 213,655.36/x
  3. Step 3: Cross multiply
    358,947.20x = 495,128 × 213,655.36
  4. Step 4: Simplify right side
    358,947.20x = 105,786,751,086.08
  5. Step 5: Solve for x
    x = 105,786,751,086.08/358,947.20
  6. Step 6: Final answer
    x = 294,713.96

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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.