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Finding the Fourth Proportional to 256,000.50, 383,986.35 and 78,507.03

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Solution

The fourth proportional to 256,000.50, 383,986.35 and 78,507.03 is: 117,756.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,000.50 : 383,986.35 = 78,507.03 : x
  2. Step 2: Convert to fraction form
    256,000.50/383,986.35 = 78,507.03/x
  3. Step 3: Cross multiply
    256,000.50x = 383,986.35 × 78,507.03
  4. Step 4: Simplify right side
    256,000.50x = 30,145,627,899.04
  5. Step 5: Solve for x
    x = 30,145,627,899.04/256,000.50
  6. Step 6: Final answer
    x = 117,756.13

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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.