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Finding the Fourth Proportional to 741,928.32, 1,023,768 and 440,064

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Solution

The fourth proportional to 741,928.32, 1,023,768 and 440,064 is: 607,233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,928.32 : 1,023,768 = 440,064 : x
  2. Step 2: Convert to fraction form
    741,928.32/1,023,768 = 440,064/x
  3. Step 3: Cross multiply
    741,928.32x = 1,023,768 × 440,064
  4. Step 4: Simplify right side
    741,928.32x = 450,523,441,152
  5. Step 5: Solve for x
    x = 450,523,441,152/741,928.32
  6. Step 6: Final answer
    x = 607,233.11

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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.