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Finding the Fourth Proportional to 880,399, 1,214,950.62 and 477,991

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Solution

The fourth proportional to 880,399, 1,214,950.62 and 477,991 is: 659,627.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,399 : 1,214,950.62 = 477,991 : x
  2. Step 2: Convert to fraction form
    880,399/1,214,950.62 = 477,991/x
  3. Step 3: Cross multiply
    880,399x = 1,214,950.62 × 477,991
  4. Step 4: Simplify right side
    880,399x = 580,735,461,804.42
  5. Step 5: Solve for x
    x = 580,735,461,804.42/880,399
  6. Step 6: Final answer
    x = 659,627.58

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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.