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Finding the Fourth Proportional to 855,612, 1,284,679.52 and 477,271.84

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Solution

The fourth proportional to 855,612, 1,284,679.52 and 477,271.84 is: 716,611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,612 : 1,284,679.52 = 477,271.84 : x
  2. Step 2: Convert to fraction form
    855,612/1,284,679.52 = 477,271.84/x
  3. Step 3: Cross multiply
    855,612x = 1,284,679.52 × 477,271.84
  4. Step 4: Simplify right side
    855,612x = 613,141,358,320.72
  5. Step 5: Solve for x
    x = 613,141,358,320.72/855,612
  6. Step 6: Final answer
    x = 716,611.45

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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.