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Finding the Fourth Proportional to 646,978.04, 970,647.05 and 282,271.56

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Solution

The fourth proportional to 646,978.04, 970,647.05 and 282,271.56 is: 423,485.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,978.04 : 970,647.05 = 282,271.56 : x
  2. Step 2: Convert to fraction form
    646,978.04/970,647.05 = 282,271.56/x
  3. Step 3: Cross multiply
    646,978.04x = 970,647.05 × 282,271.56
  4. Step 4: Simplify right side
    646,978.04x = 273,986,057,012.90
  5. Step 5: Solve for x
    x = 273,986,057,012.90/646,978.04
  6. Step 6: Final answer
    x = 423,485.87

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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.