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Finding the Fourth Proportional to 322,078.40, 482,728.80 and 164,225.60

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Solution

The fourth proportional to 322,078.40, 482,728.80 and 164,225.60 is: 246,140.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,078.40 : 482,728.80 = 164,225.60 : x
  2. Step 2: Convert to fraction form
    322,078.40/482,728.80 = 164,225.60/x
  3. Step 3: Cross multiply
    322,078.40x = 482,728.80 × 164,225.60
  4. Step 4: Simplify right side
    322,078.40x = 79,276,426,817.28
  5. Step 5: Solve for x
    x = 79,276,426,817.28/322,078.40
  6. Step 6: Final answer
    x = 246,140.15

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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.