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Finding the Fourth Proportional to 589,339.56, 813,075.26 and 385,506.84

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Solution

The fourth proportional to 589,339.56, 813,075.26 and 385,506.84 is: 531,859.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,339.56 : 813,075.26 = 385,506.84 : x
  2. Step 2: Convert to fraction form
    589,339.56/813,075.26 = 385,506.84/x
  3. Step 3: Cross multiply
    589,339.56x = 813,075.26 × 385,506.84
  4. Step 4: Simplify right side
    589,339.56x = 313,446,074,164.78
  5. Step 5: Solve for x
    x = 313,446,074,164.78/589,339.56
  6. Step 6: Final answer
    x = 531,859.89

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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.