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Finding the Fourth Proportional to 399,075.68, 598,722.87 and 199,154.72

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Solution

The fourth proportional to 399,075.68, 598,722.87 and 199,154.72 is: 298,786.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,075.68 : 598,722.87 = 199,154.72 : x
  2. Step 2: Convert to fraction form
    399,075.68/598,722.87 = 199,154.72/x
  3. Step 3: Cross multiply
    399,075.68x = 598,722.87 × 199,154.72
  4. Step 4: Simplify right side
    399,075.68x = 119,238,485,532.45
  5. Step 5: Solve for x
    x = 119,238,485,532.45/399,075.68
  6. Step 6: Final answer
    x = 298,786.65

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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.