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Finding the Fourth Proportional to 644,369.16, 889,204.73 and 357,907.54

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Solution

The fourth proportional to 644,369.16, 889,204.73 and 357,907.54 is: 493,898.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,369.16 : 889,204.73 = 357,907.54 : x
  2. Step 2: Convert to fraction form
    644,369.16/889,204.73 = 357,907.54/x
  3. Step 3: Cross multiply
    644,369.16x = 889,204.73 × 357,907.54
  4. Step 4: Simplify right side
    644,369.16x = 318,253,077,470.66
  5. Step 5: Solve for x
    x = 318,253,077,470.66/644,369.16
  6. Step 6: Final answer
    x = 493,898.68

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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.