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Finding the Fourth Proportional to 507,117.98, 699,820.22 and 277,671.12

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Solution

The fourth proportional to 507,117.98, 699,820.22 and 277,671.12 is: 383,184.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,117.98 : 699,820.22 = 277,671.12 : x
  2. Step 2: Convert to fraction form
    507,117.98/699,820.22 = 277,671.12/x
  3. Step 3: Cross multiply
    507,117.98x = 699,820.22 × 277,671.12
  4. Step 4: Simplify right side
    507,117.98x = 194,319,864,286.05
  5. Step 5: Solve for x
    x = 194,319,864,286.05/507,117.98
  6. Step 6: Final answer
    x = 383,184.73

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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.