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Finding the Fourth Proportional to 495,739.04, 684,119.94 and 269,384

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Solution

The fourth proportional to 495,739.04, 684,119.94 and 269,384 is: 371,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,739.04 : 684,119.94 = 269,384 : x
  2. Step 2: Convert to fraction form
    495,739.04/684,119.94 = 269,384/x
  3. Step 3: Cross multiply
    495,739.04x = 684,119.94 × 269,384
  4. Step 4: Simplify right side
    495,739.04x = 184,290,965,916.96
  5. Step 5: Solve for x
    x = 184,290,965,916.96/495,739.04
  6. Step 6: Final answer
    x = 371,749.96

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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.