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Finding the Fourth Proportional to 644,289.15, 889,121.10 and 357,809.24

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Solution

The fourth proportional to 644,289.15, 889,121.10 and 357,809.24 is: 493,777.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,289.15 : 889,121.10 = 357,809.24 : x
  2. Step 2: Convert to fraction form
    644,289.15/889,121.10 = 357,809.24/x
  3. Step 3: Cross multiply
    644,289.15x = 889,121.10 × 357,809.24
  4. Step 4: Simplify right side
    644,289.15x = 318,135,745,058.96
  5. Step 5: Solve for x
    x = 318,135,745,058.96/644,289.15
  6. Step 6: Final answer
    x = 493,777.90

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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.