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Finding the Fourth Proportional to 535,102.71, 738,413.52 and 305,614.88

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Solution

The fourth proportional to 535,102.71, 738,413.52 and 305,614.88 is: 421,732.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,102.71 : 738,413.52 = 305,614.88 : x
  2. Step 2: Convert to fraction form
    535,102.71/738,413.52 = 305,614.88/x
  3. Step 3: Cross multiply
    535,102.71x = 738,413.52 × 305,614.88
  4. Step 4: Simplify right side
    535,102.71x = 225,670,155,613.11
  5. Step 5: Solve for x
    x = 225,670,155,613.11/535,102.71
  6. Step 6: Final answer
    x = 421,732.41

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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.