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Finding the Fourth Proportional to 489,644,999.60, 734,467,499.40 and 461,584,914.80

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Solution

The fourth proportional to 489,644,999.60, 734,467,499.40 and 461,584,914.80 is: 692,377,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,644,999.60 : 734,467,499.40 = 461,584,914.80 : x
  2. Step 2: Convert to fraction form
    489,644,999.60/734,467,499.40 = 461,584,914.80/x
  3. Step 3: Cross multiply
    489,644,999.60x = 734,467,499.40 × 461,584,914.80
  4. Step 4: Simplify right side
    489,644,999.60x = 339,019,118,133,918,080
  5. Step 5: Solve for x
    x = 339,019,118,133,918,080/489,644,999.60
  6. Step 6: Final answer
    x = 692,377,372.20

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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.