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Finding the Fourth Proportional to 295,565.37, 407,021.12 and 256,785.26

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Solution

The fourth proportional to 295,565.37, 407,021.12 and 256,785.26 is: 353,617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,565.37 : 407,021.12 = 256,785.26 : x
  2. Step 2: Convert to fraction form
    295,565.37/407,021.12 = 256,785.26/x
  3. Step 3: Cross multiply
    295,565.37x = 407,021.12 × 256,785.26
  4. Step 4: Simplify right side
    295,565.37x = 104,517,020,805.66
  5. Step 5: Solve for x
    x = 104,517,020,805.66/295,565.37
  6. Step 6: Final answer
    x = 353,617.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.