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Finding the Fourth Proportional to 298,088.97, 411,187.26 and 187,531.47

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Solution

The fourth proportional to 298,088.97, 411,187.26 and 187,531.47 is: 258,683.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,088.97 : 411,187.26 = 187,531.47 : x
  2. Step 2: Convert to fraction form
    298,088.97/411,187.26 = 187,531.47/x
  3. Step 3: Cross multiply
    298,088.97x = 411,187.26 × 187,531.47
  4. Step 4: Simplify right side
    298,088.97x = 77,110,551,313.07
  5. Step 5: Solve for x
    x = 77,110,551,313.07/298,088.97
  6. Step 6: Final answer
    x = 258,683.01

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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.