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Finding the Fourth Proportional to 699,099,986.53, 964,744,306.23 and 381,562,508.63

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Solution

The fourth proportional to 699,099,986.53, 964,744,306.23 and 381,562,508.63 is: 526,548,798.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,099,986.53 : 964,744,306.23 = 381,562,508.63 : x
  2. Step 2: Convert to fraction form
    699,099,986.53/964,744,306.23 = 381,562,508.63/x
  3. Step 3: Cross multiply
    699,099,986.53x = 964,744,306.23 × 381,562,508.63
  4. Step 4: Simplify right side
    699,099,986.53x = 368,110,257,672,759,488
  5. Step 5: Solve for x
    x = 368,110,257,672,759,488/699,099,986.53
  6. Step 6: Final answer
    x = 526,548,798.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.