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Finding the Fourth Proportional to 384,804.45, 577,370.70 and 242,758.80

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Solution

The fourth proportional to 384,804.45, 577,370.70 and 242,758.80 is: 364,241.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,804.45 : 577,370.70 = 242,758.80 : x
  2. Step 2: Convert to fraction form
    384,804.45/577,370.70 = 242,758.80/x
  3. Step 3: Cross multiply
    384,804.45x = 577,370.70 × 242,758.80
  4. Step 4: Simplify right side
    384,804.45x = 140,161,818,287.16
  5. Step 5: Solve for x
    x = 140,161,818,287.16/384,804.45
  6. Step 6: Final answer
    x = 364,241.68

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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.