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Finding the Fourth Proportional to 589,278.39, 884,357.82 and 399,288.30

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Solution

The fourth proportional to 589,278.39, 884,357.82 and 399,288.30 is: 599,230.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,278.39 : 884,357.82 = 399,288.30 : x
  2. Step 2: Convert to fraction form
    589,278.39/884,357.82 = 399,288.30/x
  3. Step 3: Cross multiply
    589,278.39x = 884,357.82 × 399,288.30
  4. Step 4: Simplify right side
    589,278.39x = 353,113,730,539.51
  5. Step 5: Solve for x
    x = 353,113,730,539.51/589,278.39
  6. Step 6: Final answer
    x = 599,230.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.