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Finding the Fourth Proportional to 278,045, 383,699.94 and 150,717.32

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Solution

The fourth proportional to 278,045, 383,699.94 and 150,717.32 is: 207,988.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,045 : 383,699.94 = 150,717.32 : x
  2. Step 2: Convert to fraction form
    278,045/383,699.94 = 150,717.32/x
  3. Step 3: Cross multiply
    278,045x = 383,699.94 × 150,717.32
  4. Step 4: Simplify right side
    278,045x = 57,830,226,640.96
  5. Step 5: Solve for x
    x = 57,830,226,640.96/278,045
  6. Step 6: Final answer
    x = 207,988.73

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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.