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Finding the Fourth Proportional to 256,938.70, 385,408.05 and 256,938.70

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Solution

The fourth proportional to 256,938.70, 385,408.05 and 256,938.70 is: 385,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,938.70 : 385,408.05 = 256,938.70 : x
  2. Step 2: Convert to fraction form
    256,938.70/385,408.05 = 256,938.70/x
  3. Step 3: Cross multiply
    256,938.70x = 385,408.05 × 256,938.70
  4. Step 4: Simplify right side
    256,938.70x = 99,026,243,336.54
  5. Step 5: Solve for x
    x = 99,026,243,336.54/256,938.70
  6. Step 6: Final answer
    x = 385,408.05

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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.