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Finding the Fourth Proportional to 298,089.97, 411,188.64 and 187,532.47

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Solution

The fourth proportional to 298,089.97, 411,188.64 and 187,532.47 is: 258,684.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,089.97 : 411,188.64 = 187,532.47 : x
  2. Step 2: Convert to fraction form
    298,089.97/411,188.64 = 187,532.47/x
  3. Step 3: Cross multiply
    298,089.97x = 411,188.64 × 187,532.47
  4. Step 4: Simplify right side
    298,089.97x = 77,111,221,295.14
  5. Step 5: Solve for x
    x = 77,111,221,295.14/298,089.97
  6. Step 6: Final answer
    x = 258,684.39

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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.