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Finding the Fourth Proportional to 640,442.91, 960,996.67 and 285,374.35

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Solution

The fourth proportional to 640,442.91, 960,996.67 and 285,374.35 is: 428,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,442.91 : 960,996.67 = 285,374.35 : x
  2. Step 2: Convert to fraction form
    640,442.91/960,996.67 = 285,374.35/x
  3. Step 3: Cross multiply
    640,442.91x = 960,996.67 × 285,374.35
  4. Step 4: Simplify right side
    640,442.91x = 274,243,800,053.42
  5. Step 5: Solve for x
    x = 274,243,800,053.42/640,442.91
  6. Step 6: Final answer
    x = 428,209.60

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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.