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Finding the Fourth Proportional to 278,004, 383,643.36 and 150,676.32

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Solution

The fourth proportional to 278,004, 383,643.36 and 150,676.32 is: 207,932.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,004 : 383,643.36 = 150,676.32 : x
  2. Step 2: Convert to fraction form
    278,004/383,643.36 = 150,676.32/x
  3. Step 3: Cross multiply
    278,004x = 383,643.36 × 150,676.32
  4. Step 4: Simplify right side
    278,004x = 57,805,969,677.24
  5. Step 5: Solve for x
    x = 57,805,969,677.24/278,004
  6. Step 6: Final answer
    x = 207,932.15

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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.