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Finding the Fourth Proportional to 495,871.28, 684,302.31 and 294,667.28

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Solution

The fourth proportional to 495,871.28, 684,302.31 and 294,667.28 is: 406,640.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,871.28 : 684,302.31 = 294,667.28 : x
  2. Step 2: Convert to fraction form
    495,871.28/684,302.31 = 294,667.28/x
  3. Step 3: Cross multiply
    495,871.28x = 684,302.31 × 294,667.28
  4. Step 4: Simplify right side
    495,871.28x = 201,641,500,385.42
  5. Step 5: Solve for x
    x = 201,641,500,385.42/495,871.28
  6. Step 6: Final answer
    x = 406,640.81

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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.