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Finding the Fourth Proportional to 357,118.64, 492,746.74 and 206,128.16

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Solution

The fourth proportional to 357,118.64, 492,746.74 and 206,128.16 is: 284,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,118.64 : 492,746.74 = 206,128.16 : x
  2. Step 2: Convert to fraction form
    357,118.64/492,746.74 = 206,128.16/x
  3. Step 3: Cross multiply
    357,118.64x = 492,746.74 × 206,128.16
  4. Step 4: Simplify right side
    357,118.64x = 101,568,975,367.82
  5. Step 5: Solve for x
    x = 101,568,975,367.82/357,118.64
  6. Step 6: Final answer
    x = 284,412.42

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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.