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Finding the Fourth Proportional to 279,329.60, 418,821.60 and 160,942.40

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Solution

The fourth proportional to 279,329.60, 418,821.60 and 160,942.40 is: 241,314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,329.60 : 418,821.60 = 160,942.40 : x
  2. Step 2: Convert to fraction form
    279,329.60/418,821.60 = 160,942.40/x
  3. Step 3: Cross multiply
    279,329.60x = 418,821.60 × 160,942.40
  4. Step 4: Simplify right side
    279,329.60x = 67,406,153,475.84
  5. Step 5: Solve for x
    x = 67,406,153,475.84/279,329.60
  6. Step 6: Final answer
    x = 241,314.04

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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.