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Finding the Fourth Proportional to 492,999.88, 680,281.32 and 278,127.40

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Solution

The fourth proportional to 492,999.88, 680,281.32 and 278,127.40 is: 383,782.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,999.88 : 680,281.32 = 278,127.40 : x
  2. Step 2: Convert to fraction form
    492,999.88/680,281.32 = 278,127.40/x
  3. Step 3: Cross multiply
    492,999.88x = 680,281.32 × 278,127.40
  4. Step 4: Simplify right side
    492,999.88x = 189,204,874,800.17
  5. Step 5: Solve for x
    x = 189,204,874,800.17/492,999.88
  6. Step 6: Final answer
    x = 383,782.80

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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.