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Finding the Fourth Proportional to 856,002, 1,284,000.03 and 256,960.74

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Solution

The fourth proportional to 856,002, 1,284,000.03 and 256,960.74 is: 385,440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,002 : 1,284,000.03 = 256,960.74 : x
  2. Step 2: Convert to fraction form
    856,002/1,284,000.03 = 256,960.74/x
  3. Step 3: Cross multiply
    856,002x = 1,284,000.03 × 256,960.74
  4. Step 4: Simplify right side
    856,002x = 329,937,597,868.82
  5. Step 5: Solve for x
    x = 329,937,597,868.82/856,002
  6. Step 6: Final answer
    x = 385,440.22

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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.