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Finding the Fourth Proportional to 392,288.50, 541,358.13 and 213,440.50

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Solution

The fourth proportional to 392,288.50, 541,358.13 and 213,440.50 is: 294,547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,288.50 : 541,358.13 = 213,440.50 : x
  2. Step 2: Convert to fraction form
    392,288.50/541,358.13 = 213,440.50/x
  3. Step 3: Cross multiply
    392,288.50x = 541,358.13 × 213,440.50
  4. Step 4: Simplify right side
    392,288.50x = 115,547,749,946.27
  5. Step 5: Solve for x
    x = 115,547,749,946.27/392,288.50
  6. Step 6: Final answer
    x = 294,547.89

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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.