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Finding the Fourth Proportional to 409,460,745, 614,191,117.50 and 136,831,512

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Solution

The fourth proportional to 409,460,745, 614,191,117.50 and 136,831,512 is: 205,247,268

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,460,745 : 614,191,117.50 = 136,831,512 : x
  2. Step 2: Convert to fraction form
    409,460,745/614,191,117.50 = 136,831,512/x
  3. Step 3: Cross multiply
    409,460,745x = 614,191,117.50 × 136,831,512
  4. Step 4: Simplify right side
    409,460,745x = 84,040,699,264,494,656
  5. Step 5: Solve for x
    x = 84,040,699,264,494,656/409,460,745
  6. Step 6: Final answer
    x = 205,247,268

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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.