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Finding the Fourth Proportional to 216,264.80, 324,008.40 and 133,061.60

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Solution

The fourth proportional to 216,264.80, 324,008.40 and 133,061.60 is: 199,353.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,264.80 : 324,008.40 = 133,061.60 : x
  2. Step 2: Convert to fraction form
    216,264.80/324,008.40 = 133,061.60/x
  3. Step 3: Cross multiply
    216,264.80x = 324,008.40 × 133,061.60
  4. Step 4: Simplify right side
    216,264.80x = 43,113,076,117.44
  5. Step 5: Solve for x
    x = 43,113,076,117.44/216,264.80
  6. Step 6: Final answer
    x = 199,353.18

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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.