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Finding the Fourth Proportional to 862,603.40, 1,294,293.90 and 413,150.60

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Solution

The fourth proportional to 862,603.40, 1,294,293.90 and 413,150.60 is: 619,912.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,603.40 : 1,294,293.90 = 413,150.60 : x
  2. Step 2: Convert to fraction form
    862,603.40/1,294,293.90 = 413,150.60/x
  3. Step 3: Cross multiply
    862,603.40x = 1,294,293.90 × 413,150.60
  4. Step 4: Simplify right side
    862,603.40x = 534,738,301,361.34
  5. Step 5: Solve for x
    x = 534,738,301,361.34/862,603.40
  6. Step 6: Final answer
    x = 619,912.12

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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.