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Finding the Fourth Proportional to 256,293.86, 384,296.79 and 106,433.33

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Solution

The fourth proportional to 256,293.86, 384,296.79 and 106,433.33 is: 159,590.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,293.86 : 384,296.79 = 106,433.33 : x
  2. Step 2: Convert to fraction form
    256,293.86/384,296.79 = 106,433.33/x
  3. Step 3: Cross multiply
    256,293.86x = 384,296.79 × 106,433.33
  4. Step 4: Simplify right side
    256,293.86x = 40,901,987,068.01
  5. Step 5: Solve for x
    x = 40,901,987,068.01/256,293.86
  6. Step 6: Final answer
    x = 159,590.19

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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.