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Finding the Fourth Proportional to 495,709.98, 684,078.44 and 269,355.48

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Solution

The fourth proportional to 495,709.98, 684,078.44 and 269,355.48 is: 371,709.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,709.98 : 684,078.44 = 269,355.48 : x
  2. Step 2: Convert to fraction form
    495,709.98/684,078.44 = 269,355.48/x
  3. Step 3: Cross multiply
    495,709.98x = 684,078.44 × 269,355.48
  4. Step 4: Simplify right side
    495,709.98x = 184,260,276,563.85
  5. Step 5: Solve for x
    x = 184,260,276,563.85/495,709.98
  6. Step 6: Final answer
    x = 371,709.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.