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Finding the Fourth Proportional to 383,055, 574,582.50 and 120,399

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Solution

The fourth proportional to 383,055, 574,582.50 and 120,399 is: 180,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,055 : 574,582.50 = 120,399 : x
  2. Step 2: Convert to fraction form
    383,055/574,582.50 = 120,399/x
  3. Step 3: Cross multiply
    383,055x = 574,582.50 × 120,399
  4. Step 4: Simplify right side
    383,055x = 69,179,158,417.50
  5. Step 5: Solve for x
    x = 69,179,158,417.50/383,055
  6. Step 6: Final answer
    x = 180,598.50

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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.