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Finding the Fourth Proportional to 660,648, 991,021.56 and 187,371.48

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Solution

The fourth proportional to 660,648, 991,021.56 and 187,371.48 is: 281,071.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,648 : 991,021.56 = 187,371.48 : x
  2. Step 2: Convert to fraction form
    660,648/991,021.56 = 187,371.48/x
  3. Step 3: Cross multiply
    660,648x = 991,021.56 × 187,371.48
  4. Step 4: Simplify right side
    660,648x = 185,689,176,409.11
  5. Step 5: Solve for x
    x = 185,689,176,409.11/660,648
  6. Step 6: Final answer
    x = 281,071.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.