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Finding the Fourth Proportional to 495,796.09, 684,196.71 and 280,977.22

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Solution

The fourth proportional to 495,796.09, 684,196.71 and 280,977.22 is: 387,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,796.09 : 684,196.71 = 280,977.22 : x
  2. Step 2: Convert to fraction form
    495,796.09/684,196.71 = 280,977.22/x
  3. Step 3: Cross multiply
    495,796.09x = 684,196.71 × 280,977.22
  4. Step 4: Simplify right side
    495,796.09x = 192,243,689,508.95
  5. Step 5: Solve for x
    x = 192,243,689,508.95/495,796.09
  6. Step 6: Final answer
    x = 387,747.49

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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.