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Finding the Fourth Proportional to 256,461.60, 384,692.40 and 231,092.40

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Solution

The fourth proportional to 256,461.60, 384,692.40 and 231,092.40 is: 346,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,461.60 : 384,692.40 = 231,092.40 : x
  2. Step 2: Convert to fraction form
    256,461.60/384,692.40 = 231,092.40/x
  3. Step 3: Cross multiply
    256,461.60x = 384,692.40 × 231,092.40
  4. Step 4: Simplify right side
    256,461.60x = 88,899,489,977.76
  5. Step 5: Solve for x
    x = 88,899,489,977.76/256,461.60
  6. Step 6: Final answer
    x = 346,638.60

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1.5x scale

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.