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Finding the Fourth Proportional to 640,295.28, 960,701.31 and 285,066.54

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Solution

The fourth proportional to 640,295.28, 960,701.31 and 285,066.54 is: 427,714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,295.28 : 960,701.31 = 285,066.54 : x
  2. Step 2: Convert to fraction form
    640,295.28/960,701.31 = 285,066.54/x
  3. Step 3: Cross multiply
    640,295.28x = 960,701.31 × 285,066.54
  4. Step 4: Simplify right side
    640,295.28x = 273,863,798,415.17
  5. Step 5: Solve for x
    x = 273,863,798,415.17/640,295.28
  6. Step 6: Final answer
    x = 427,714.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.