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Finding the Fourth Proportional to 712,661.09, 983,099.43 and 440,642.03

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Solution

The fourth proportional to 712,661.09, 983,099.43 and 440,642.03 is: 607,855.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,661.09 : 983,099.43 = 440,642.03 : x
  2. Step 2: Convert to fraction form
    712,661.09/983,099.43 = 440,642.03/x
  3. Step 3: Cross multiply
    712,661.09x = 983,099.43 × 440,642.03
  4. Step 4: Simplify right side
    712,661.09x = 433,194,923,611.55
  5. Step 5: Solve for x
    x = 433,194,923,611.55/712,661.09
  6. Step 6: Final answer
    x = 607,855.45

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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.