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Finding the Fourth Proportional to 507,211.44, 699,964.86 and 277,781.40

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Solution

The fourth proportional to 507,211.44, 699,964.86 and 277,781.40 is: 383,345.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,211.44 : 699,964.86 = 277,781.40 : x
  2. Step 2: Convert to fraction form
    507,211.44/699,964.86 = 277,781.40/x
  3. Step 3: Cross multiply
    507,211.44x = 699,964.86 × 277,781.40
  4. Step 4: Simplify right side
    507,211.44x = 194,437,218,761.60
  5. Step 5: Solve for x
    x = 194,437,218,761.60/507,211.44
  6. Step 6: Final answer
    x = 383,345.49

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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.