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Finding the Fourth Proportional to 665,342,893.90, 998,014,340.85 and 493,156,009.90

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Solution

The fourth proportional to 665,342,893.90, 998,014,340.85 and 493,156,009.90 is: 739,734,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,342,893.90 : 998,014,340.85 = 493,156,009.90 : x
  2. Step 2: Convert to fraction form
    665,342,893.90/998,014,340.85 = 493,156,009.90/x
  3. Step 3: Cross multiply
    665,342,893.90x = 998,014,340.85 × 493,156,009.90
  4. Step 4: Simplify right side
    665,342,893.90x = 492,176,770,156,564,544
  5. Step 5: Solve for x
    x = 492,176,770,156,564,544/665,342,893.90
  6. Step 6: Final answer
    x = 739,734,014.85

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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.