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Finding the Fourth Proportional to 388,275.86, 535,834.85 and 216,202.70

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Solution

The fourth proportional to 388,275.86, 535,834.85 and 216,202.70 is: 298,367.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,275.86 : 535,834.85 = 216,202.70 : x
  2. Step 2: Convert to fraction form
    388,275.86/535,834.85 = 216,202.70/x
  3. Step 3: Cross multiply
    388,275.86x = 535,834.85 × 216,202.70
  4. Step 4: Simplify right side
    388,275.86x = 115,848,937,563.91
  5. Step 5: Solve for x
    x = 115,848,937,563.91/388,275.86
  6. Step 6: Final answer
    x = 298,367.61

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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.