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Finding the Fourth Proportional to 492,603.77, 739,197.48 and 208,278.78

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Solution

The fourth proportional to 492,603.77, 739,197.48 and 208,278.78 is: 312,541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,603.77 : 739,197.48 = 208,278.78 : x
  2. Step 2: Convert to fraction form
    492,603.77/739,197.48 = 208,278.78/x
  3. Step 3: Cross multiply
    492,603.77x = 739,197.48 × 208,278.78
  4. Step 4: Simplify right side
    492,603.77x = 153,959,149,313.47
  5. Step 5: Solve for x
    x = 153,959,149,313.47/492,603.77
  6. Step 6: Final answer
    x = 312,541.56

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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.