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Finding the Fourth Proportional to 526,771,636, 789,989,978.40 and 492,382,003.84

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Solution

The fourth proportional to 526,771,636, 789,989,978.40 and 492,382,003.84 is: 738,416,463.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,771,636 : 789,989,978.40 = 492,382,003.84 : x
  2. Step 2: Convert to fraction form
    526,771,636/789,989,978.40 = 492,382,003.84/x
  3. Step 3: Cross multiply
    526,771,636x = 789,989,978.40 × 492,382,003.84
  4. Step 4: Simplify right side
    526,771,636x = 388,976,848,578,110,272
  5. Step 5: Solve for x
    x = 388,976,848,578,110,272/526,771,636
  6. Step 6: Final answer
    x = 738,416,463.60

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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.