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Finding the Fourth Proportional to 644,284.71, 889,032.39 and 357,765.84

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Solution

The fourth proportional to 644,284.71, 889,032.39 and 357,765.84 is: 493,672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,284.71 : 889,032.39 = 357,765.84 : x
  2. Step 2: Convert to fraction form
    644,284.71/889,032.39 = 357,765.84/x
  3. Step 3: Cross multiply
    644,284.71x = 889,032.39 × 357,765.84
  4. Step 4: Simplify right side
    644,284.71x = 318,065,419,795.56
  5. Step 5: Solve for x
    x = 318,065,419,795.56/644,284.71
  6. Step 6: Final answer
    x = 493,672.15

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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.