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Finding the Fourth Proportional to 858,866,272.52, 1,285,899,190.25 and 463,978,372.86

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Solution

The fourth proportional to 858,866,272.52, 1,285,899,190.25 and 463,978,372.86 is: 694,670,908.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,866,272.52 : 1,285,899,190.25 = 463,978,372.86 : x
  2. Step 2: Convert to fraction form
    858,866,272.52/1,285,899,190.25 = 463,978,372.86/x
  3. Step 3: Cross multiply
    858,866,272.52x = 1,285,899,190.25 × 463,978,372.86
  4. Step 4: Simplify right side
    858,866,272.52x = 596,629,413,956,241,408
  5. Step 5: Solve for x
    x = 596,629,413,956,241,408/858,866,272.52
  6. Step 6: Final answer
    x = 694,670,908.67

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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.