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Finding the Fourth Proportional to 256,862.44, 354,483.94 and 143,678.44

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Solution

The fourth proportional to 256,862.44, 354,483.94 and 143,678.44 is: 198,283.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,862.44 : 354,483.94 = 143,678.44 : x
  2. Step 2: Convert to fraction form
    256,862.44/354,483.94 = 143,678.44/x
  3. Step 3: Cross multiply
    256,862.44x = 354,483.94 × 143,678.44
  4. Step 4: Simplify right side
    256,862.44x = 50,931,699,504.25
  5. Step 5: Solve for x
    x = 50,931,699,504.25/256,862.44
  6. Step 6: Final answer
    x = 198,283.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.