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Finding the Fourth Proportional to 285,364,352.70, 428,046,529.05 and 285,364,352.70

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Solution

The fourth proportional to 285,364,352.70, 428,046,529.05 and 285,364,352.70 is: 428,046,529.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,364,352.70 : 428,046,529.05 = 285,364,352.70 : x
  2. Step 2: Convert to fraction form
    285,364,352.70/428,046,529.05 = 285,364,352.70/x
  3. Step 3: Cross multiply
    285,364,352.70x = 428,046,529.05 × 285,364,352.70
  4. Step 4: Simplify right side
    285,364,352.70x = 122,149,220,687,834,992
  5. Step 5: Solve for x
    x = 122,149,220,687,834,992/285,364,352.70
  6. Step 6: Final answer
    x = 428,046,529.05

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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.