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Finding the Fourth Proportional to 280,069,803.20, 420,104,704.80 and 150,929,640.20

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Solution

The fourth proportional to 280,069,803.20, 420,104,704.80 and 150,929,640.20 is: 226,394,460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,069,803.20 : 420,104,704.80 = 150,929,640.20 : x
  2. Step 2: Convert to fraction form
    280,069,803.20/420,104,704.80 = 150,929,640.20/x
  3. Step 3: Cross multiply
    280,069,803.20x = 420,104,704.80 × 150,929,640.20
  4. Step 4: Simplify right side
    280,069,803.20x = 63,406,251,941,791,208
  5. Step 5: Solve for x
    x = 63,406,251,941,791,208/280,069,803.20
  6. Step 6: Final answer
    x = 226,394,460.30

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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.