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Finding the Fourth Proportional to 492,947.72, 680,299.32 and 278,009.36

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Solution

The fourth proportional to 492,947.72, 680,299.32 and 278,009.36 is: 383,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,947.72 : 680,299.32 = 278,009.36 : x
  2. Step 2: Convert to fraction form
    492,947.72/680,299.32 = 278,009.36/x
  3. Step 3: Cross multiply
    492,947.72x = 680,299.32 × 278,009.36
  4. Step 4: Simplify right side
    492,947.72x = 189,129,578,561.64
  5. Step 5: Solve for x
    x = 189,129,578,561.64/492,947.72
  6. Step 6: Final answer
    x = 383,670.66

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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.