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Finding the Fourth Proportional to 495,734.36, 684,111.12 and 280,873.94

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Solution

The fourth proportional to 495,734.36, 684,111.12 and 280,873.94 is: 387,604.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,734.36 : 684,111.12 = 280,873.94 : x
  2. Step 2: Convert to fraction form
    495,734.36/684,111.12 = 280,873.94/x
  3. Step 3: Cross multiply
    495,734.36x = 684,111.12 × 280,873.94
  4. Step 4: Simplify right side
    495,734.36x = 192,148,985,672.21
  5. Step 5: Solve for x
    x = 192,148,985,672.21/495,734.36
  6. Step 6: Final answer
    x = 387,604.74

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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.