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Finding the Fourth Proportional to 644,130, 966,300.57 and 264,947.94

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Solution

The fourth proportional to 644,130, 966,300.57 and 264,947.94 is: 397,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,130 : 966,300.57 = 264,947.94 : x
  2. Step 2: Convert to fraction form
    644,130/966,300.57 = 264,947.94/x
  3. Step 3: Cross multiply
    644,130x = 966,300.57 × 264,947.94
  4. Step 4: Simplify right side
    644,130x = 256,019,345,442.33
  5. Step 5: Solve for x
    x = 256,019,345,442.33/644,130
  6. Step 6: Final answer
    x = 397,465.33

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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.