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Finding the Fourth Proportional to 395,068, 545,193.84 and 216,220

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Solution

The fourth proportional to 395,068, 545,193.84 and 216,220 is: 298,383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,068 : 545,193.84 = 216,220 : x
  2. Step 2: Convert to fraction form
    395,068/545,193.84 = 216,220/x
  3. Step 3: Cross multiply
    395,068x = 545,193.84 × 216,220
  4. Step 4: Simplify right side
    395,068x = 117,881,812,084.80
  5. Step 5: Solve for x
    x = 117,881,812,084.80/395,068
  6. Step 6: Final answer
    x = 298,383.60

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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.