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Finding the Fourth Proportional to 384,243, 576,367.74 and 134,925

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Solution

The fourth proportional to 384,243, 576,367.74 and 134,925 is: 202,388.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,243 : 576,367.74 = 134,925 : x
  2. Step 2: Convert to fraction form
    384,243/576,367.74 = 134,925/x
  3. Step 3: Cross multiply
    384,243x = 576,367.74 × 134,925
  4. Step 4: Simplify right side
    384,243x = 77,766,417,319.50
  5. Step 5: Solve for x
    x = 77,766,417,319.50/384,243
  6. Step 6: Final answer
    x = 202,388.64

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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.