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Finding the Fourth Proportional to 256,666.88, 385,000.56 and 69,678.40

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Solution

The fourth proportional to 256,666.88, 385,000.56 and 69,678.40 is: 104,517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,666.88 : 385,000.56 = 69,678.40 : x
  2. Step 2: Convert to fraction form
    256,666.88/385,000.56 = 69,678.40/x
  3. Step 3: Cross multiply
    256,666.88x = 385,000.56 × 69,678.40
  4. Step 4: Simplify right side
    256,666.88x = 26,826,223,019.90
  5. Step 5: Solve for x
    x = 26,826,223,019.90/256,666.88
  6. Step 6: Final answer
    x = 104,517.67

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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.