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Finding the Fourth Proportional to 609,069,253.64, 913,721,337.28 and 259,308,916

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Solution

The fourth proportional to 609,069,253.64, 913,721,337.28 and 259,308,916 is: 389,013,380.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,069,253.64 : 913,721,337.28 = 259,308,916 : x
  2. Step 2: Convert to fraction form
    609,069,253.64/913,721,337.28 = 259,308,916/x
  3. Step 3: Cross multiply
    609,069,253.64x = 913,721,337.28 × 259,308,916
  4. Step 4: Simplify right side
    609,069,253.64x = 236,936,089,496,147,168
  5. Step 5: Solve for x
    x = 236,936,089,496,147,168/609,069,253.64
  6. Step 6: Final answer
    x = 389,013,380.79

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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.