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Finding the Fourth Proportional to 880,362, 1,214,899.56 and 477,954

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Solution

The fourth proportional to 880,362, 1,214,899.56 and 477,954 is: 659,576.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,362 : 1,214,899.56 = 477,954 : x
  2. Step 2: Convert to fraction form
    880,362/1,214,899.56 = 477,954/x
  3. Step 3: Cross multiply
    880,362x = 1,214,899.56 × 477,954
  4. Step 4: Simplify right side
    880,362x = 580,666,104,300.24
  5. Step 5: Solve for x
    x = 580,666,104,300.24/880,362
  6. Step 6: Final answer
    x = 659,576.52

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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.