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Finding the Fourth Proportional to 713,145.50, 983,995.37 and 422,629.04

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Solution

The fourth proportional to 713,145.50, 983,995.37 and 422,629.04 is: 583,141.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,145.50 : 983,995.37 = 422,629.04 : x
  2. Step 2: Convert to fraction form
    713,145.50/983,995.37 = 422,629.04/x
  3. Step 3: Cross multiply
    713,145.50x = 983,995.37 × 422,629.04
  4. Step 4: Simplify right side
    713,145.50x = 415,865,015,778.22
  5. Step 5: Solve for x
    x = 415,865,015,778.22/713,145.50
  6. Step 6: Final answer
    x = 583,141.89

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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.