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Finding the Fourth Proportional to 495,778.96, 743,642.34 and 290,727.64

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Solution

The fourth proportional to 495,778.96, 743,642.34 and 290,727.64 is: 436,076.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,778.96 : 743,642.34 = 290,727.64 : x
  2. Step 2: Convert to fraction form
    495,778.96/743,642.34 = 290,727.64/x
  3. Step 3: Cross multiply
    495,778.96x = 743,642.34 × 290,727.64
  4. Step 4: Simplify right side
    495,778.96x = 216,197,382,512.28
  5. Step 5: Solve for x
    x = 216,197,382,512.28/495,778.96
  6. Step 6: Final answer
    x = 436,076.15

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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.