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Finding the Fourth Proportional to 644,329.76, 889,146.30 and 386,349.10

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Solution

The fourth proportional to 644,329.76, 889,146.30 and 386,349.10 is: 533,144.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,329.76 : 889,146.30 = 386,349.10 : x
  2. Step 2: Convert to fraction form
    644,329.76/889,146.30 = 386,349.10/x
  3. Step 3: Cross multiply
    644,329.76x = 889,146.30 × 386,349.10
  4. Step 4: Simplify right side
    644,329.76x = 343,520,872,773.33
  5. Step 5: Solve for x
    x = 343,520,872,773.33/644,329.76
  6. Step 6: Final answer
    x = 533,144.51

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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.