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Finding the Fourth Proportional to 216,718.98, 298,448.43 and 178,643.34

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Solution

The fourth proportional to 216,718.98, 298,448.43 and 178,643.34 is: 246,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,718.98 : 298,448.43 = 178,643.34 : x
  2. Step 2: Convert to fraction form
    216,718.98/298,448.43 = 178,643.34/x
  3. Step 3: Cross multiply
    216,718.98x = 298,448.43 × 178,643.34
  4. Step 4: Simplify right side
    216,718.98x = 53,315,824,352.96
  5. Step 5: Solve for x
    x = 53,315,824,352.96/216,718.98
  6. Step 6: Final answer
    x = 246,013.64

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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.