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Finding the Fourth Proportional to 278,496,722.80, 417,745,084.20 and 74,045,465.20

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Solution

The fourth proportional to 278,496,722.80, 417,745,084.20 and 74,045,465.20 is: 111,068,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,496,722.80 : 417,745,084.20 = 74,045,465.20 : x
  2. Step 2: Convert to fraction form
    278,496,722.80/417,745,084.20 = 74,045,465.20/x
  3. Step 3: Cross multiply
    278,496,722.80x = 417,745,084.20 × 74,045,465.20
  4. Step 4: Simplify right side
    278,496,722.80x = 30,932,129,094,602,172
  5. Step 5: Solve for x
    x = 30,932,129,094,602,172/278,496,722.80
  6. Step 6: Final answer
    x = 111,068,197.80

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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.