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Finding the Fourth Proportional to 858,417, 1,287,314.46 and 384,858.60

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Solution

The fourth proportional to 858,417, 1,287,314.46 and 384,858.60 is: 577,148.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,417 : 1,287,314.46 = 384,858.60 : x
  2. Step 2: Convert to fraction form
    858,417/1,287,314.46 = 384,858.60/x
  3. Step 3: Cross multiply
    858,417x = 1,287,314.46 × 384,858.60
  4. Step 4: Simplify right side
    858,417x = 495,434,040,835.36
  5. Step 5: Solve for x
    x = 495,434,040,835.36/858,417
  6. Step 6: Final answer
    x = 577,148.45

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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.