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Finding the Fourth Proportional to 786,494, 1,179,745.32 and 195,518

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Solution

The fourth proportional to 786,494, 1,179,745.32 and 195,518 is: 293,278.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,494 : 1,179,745.32 = 195,518 : x
  2. Step 2: Convert to fraction form
    786,494/1,179,745.32 = 195,518/x
  3. Step 3: Cross multiply
    786,494x = 1,179,745.32 × 195,518
  4. Step 4: Simplify right side
    786,494x = 230,661,445,475.76
  5. Step 5: Solve for x
    x = 230,661,445,475.76/786,494
  6. Step 6: Final answer
    x = 293,278.07

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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.