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Finding the Fourth Proportional to 492,971.46, 680,331.72 and 278,033.10

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Solution

The fourth proportional to 492,971.46, 680,331.72 and 278,033.10 is: 383,703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,971.46 : 680,331.72 = 278,033.10 : x
  2. Step 2: Convert to fraction form
    492,971.46/680,331.72 = 278,033.10/x
  3. Step 3: Cross multiply
    492,971.46x = 680,331.72 × 278,033.10
  4. Step 4: Simplify right side
    492,971.46x = 189,154,737,139.93
  5. Step 5: Solve for x
    x = 189,154,737,139.93/492,971.46
  6. Step 6: Final answer
    x = 383,703.22

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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.