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Finding the Fourth Proportional to 284,953,605.60, 427,430,408.40 and 269,081,234.40

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Solution

The fourth proportional to 284,953,605.60, 427,430,408.40 and 269,081,234.40 is: 403,621,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,953,605.60 : 427,430,408.40 = 269,081,234.40 : x
  2. Step 2: Convert to fraction form
    284,953,605.60/427,430,408.40 = 269,081,234.40/x
  3. Step 3: Cross multiply
    284,953,605.60x = 427,430,408.40 × 269,081,234.40
  4. Step 4: Simplify right side
    284,953,605.60x = 115,013,501,912,368,112
  5. Step 5: Solve for x
    x = 115,013,501,912,368,112/284,953,605.60
  6. Step 6: Final answer
    x = 403,621,851.60

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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.