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Finding the Fourth Proportional to 525,111,364.60, 787,667,046.90 and 494,978,659.90

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Solution

The fourth proportional to 525,111,364.60, 787,667,046.90 and 494,978,659.90 is: 742,467,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,111,364.60 : 787,667,046.90 = 494,978,659.90 : x
  2. Step 2: Convert to fraction form
    525,111,364.60/787,667,046.90 = 494,978,659.90/x
  3. Step 3: Cross multiply
    525,111,364.60x = 787,667,046.90 × 494,978,659.90
  4. Step 4: Simplify right side
    525,111,364.60x = 389,878,379,321,952,448
  5. Step 5: Solve for x
    x = 389,878,379,321,952,448/525,111,364.60
  6. Step 6: Final answer
    x = 742,467,989.85

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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.