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Finding the Fourth Proportional to 384,907.60, 576,583.80 and 266,712.40

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Solution

The fourth proportional to 384,907.60, 576,583.80 and 266,712.40 is: 399,529.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,907.60 : 576,583.80 = 266,712.40 : x
  2. Step 2: Convert to fraction form
    384,907.60/576,583.80 = 266,712.40/x
  3. Step 3: Cross multiply
    384,907.60x = 576,583.80 × 266,712.40
  4. Step 4: Simplify right side
    384,907.60x = 153,782,049,099.12
  5. Step 5: Solve for x
    x = 153,782,049,099.12/384,907.60
  6. Step 6: Final answer
    x = 399,529.78

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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.