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Finding the Fourth Proportional to 680,099.97, 1,018,967.72 and 477,265.89

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Solution

The fourth proportional to 680,099.97, 1,018,967.72 and 477,265.89 is: 715,069.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,099.97 : 1,018,967.72 = 477,265.89 : x
  2. Step 2: Convert to fraction form
    680,099.97/1,018,967.72 = 477,265.89/x
  3. Step 3: Cross multiply
    680,099.97x = 1,018,967.72 × 477,265.89
  4. Step 4: Simplify right side
    680,099.97x = 486,318,533,380.74
  5. Step 5: Solve for x
    x = 486,318,533,380.74/680,099.97
  6. Step 6: Final answer
    x = 715,069.19

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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.