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Finding the Fourth Proportional to 495,702.74, 684,072.04 and 280,884.66

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Solution

The fourth proportional to 495,702.74, 684,072.04 and 280,884.66 is: 387,622.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,702.74 : 684,072.04 = 280,884.66 : x
  2. Step 2: Convert to fraction form
    495,702.74/684,072.04 = 280,884.66/x
  3. Step 3: Cross multiply
    495,702.74x = 684,072.04 × 280,884.66
  4. Step 4: Simplify right side
    495,702.74x = 192,145,342,370.91
  5. Step 5: Solve for x
    x = 192,145,342,370.91/495,702.74
  6. Step 6: Final answer
    x = 387,622.11

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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.