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Finding the Fourth Proportional to 388,143.75, 535,632.89 and 218,377.47

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Solution

The fourth proportional to 388,143.75, 535,632.89 and 218,377.47 is: 301,357.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,143.75 : 535,632.89 = 218,377.47 : x
  2. Step 2: Convert to fraction form
    388,143.75/535,632.89 = 218,377.47/x
  3. Step 3: Cross multiply
    388,143.75x = 535,632.89 × 218,377.47
  4. Step 4: Simplify right side
    388,143.75x = 116,970,155,366.99
  5. Step 5: Solve for x
    x = 116,970,155,366.99/388,143.75
  6. Step 6: Final answer
    x = 301,357.82

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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.