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Finding the Fourth Proportional to 658,928.80, 989,486.34 and 411,185.44

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Solution

The fourth proportional to 658,928.80, 989,486.34 and 411,185.44 is: 617,460.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,928.80 : 989,486.34 = 411,185.44 : x
  2. Step 2: Convert to fraction form
    658,928.80/989,486.34 = 411,185.44/x
  3. Step 3: Cross multiply
    658,928.80x = 989,486.34 × 411,185.44
  4. Step 4: Simplify right side
    658,928.80x = 406,862,376,086.89
  5. Step 5: Solve for x
    x = 406,862,376,086.89/658,928.80
  6. Step 6: Final answer
    x = 617,460.30

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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.