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Finding the Fourth Proportional to 644,274.41, 889,074.33 and 357,812.95

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Solution

The fourth proportional to 644,274.41, 889,074.33 and 357,812.95 is: 493,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,274.41 : 889,074.33 = 357,812.95 : x
  2. Step 2: Convert to fraction form
    644,274.41/889,074.33 = 357,812.95/x
  3. Step 3: Cross multiply
    644,274.41x = 889,074.33 × 357,812.95
  4. Step 4: Simplify right side
    644,274.41x = 318,122,305,638.84
  5. Step 5: Solve for x
    x = 318,122,305,638.84/644,274.41
  6. Step 6: Final answer
    x = 493,768.34

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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.