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Finding the Fourth Proportional to 256,627.80, 384,941.70 and 69,639.30

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Solution

The fourth proportional to 256,627.80, 384,941.70 and 69,639.30 is: 104,458.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,627.80 : 384,941.70 = 69,639.30 : x
  2. Step 2: Convert to fraction form
    256,627.80/384,941.70 = 69,639.30/x
  3. Step 3: Cross multiply
    256,627.80x = 384,941.70 × 69,639.30
  4. Step 4: Simplify right side
    256,627.80x = 26,807,070,528.81
  5. Step 5: Solve for x
    x = 26,807,070,528.81/256,627.80
  6. Step 6: Final answer
    x = 104,458.95

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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.