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Finding the Fourth Proportional to 495,995.28, 684,478.32 and 269,645.64

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Solution

The fourth proportional to 495,995.28, 684,478.32 and 269,645.64 is: 372,113.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,995.28 : 684,478.32 = 269,645.64 : x
  2. Step 2: Convert to fraction form
    495,995.28/684,478.32 = 269,645.64/x
  3. Step 3: Cross multiply
    495,995.28x = 684,478.32 × 269,645.64
  4. Step 4: Simplify right side
    495,995.28x = 184,566,594,662.53
  5. Step 5: Solve for x
    x = 184,566,594,662.53/495,995.28
  6. Step 6: Final answer
    x = 372,113.61

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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.