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Finding the Fourth Proportional to 383,854.17, 575,855.07 and 147,178.39

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Solution

The fourth proportional to 383,854.17, 575,855.07 and 147,178.39 is: 220,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,854.17 : 575,855.07 = 147,178.39 : x
  2. Step 2: Convert to fraction form
    383,854.17/575,855.07 = 147,178.39/x
  3. Step 3: Cross multiply
    383,854.17x = 575,855.07 × 147,178.39
  4. Step 4: Simplify right side
    383,854.17x = 84,753,422,075.94
  5. Step 5: Solve for x
    x = 84,753,422,075.94/383,854.17
  6. Step 6: Final answer
    x = 220,795.89

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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.