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Finding the Fourth Proportional to 495,902.40, 684,520.80 and 294,696

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Solution

The fourth proportional to 495,902.40, 684,520.80 and 294,696 is: 406,784.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,902.40 : 684,520.80 = 294,696 : x
  2. Step 2: Convert to fraction form
    495,902.40/684,520.80 = 294,696/x
  3. Step 3: Cross multiply
    495,902.40x = 684,520.80 × 294,696
  4. Step 4: Simplify right side
    495,902.40x = 201,725,541,676.80
  5. Step 5: Solve for x
    x = 201,725,541,676.80/495,902.40
  6. Step 6: Final answer
    x = 406,784.77

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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.