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Finding the Fourth Proportional to 644,216.34, 889,048.14 and 357,737.55

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Solution

The fourth proportional to 644,216.34, 889,048.14 and 357,737.55 is: 493,694.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,216.34 : 889,048.14 = 357,737.55 : x
  2. Step 2: Convert to fraction form
    644,216.34/889,048.14 = 357,737.55/x
  3. Step 3: Cross multiply
    644,216.34x = 889,048.14 × 357,737.55
  4. Step 4: Simplify right side
    644,216.34x = 318,045,903,435.66
  5. Step 5: Solve for x
    x = 318,045,903,435.66/644,216.34
  6. Step 6: Final answer
    x = 493,694.25

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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.