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Finding the Fourth Proportional to 414,653.04, 621,978.48 and 165,510

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Solution

The fourth proportional to 414,653.04, 621,978.48 and 165,510 is: 248,264.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,653.04 : 621,978.48 = 165,510 : x
  2. Step 2: Convert to fraction form
    414,653.04/621,978.48 = 165,510/x
  3. Step 3: Cross multiply
    414,653.04x = 621,978.48 × 165,510
  4. Step 4: Simplify right side
    414,653.04x = 102,943,658,224.80
  5. Step 5: Solve for x
    x = 102,943,658,224.80/414,653.04
  6. Step 6: Final answer
    x = 248,264.57

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