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Finding the Fourth Proportional to 407,999.16, 562,804.26 and 254,771.28

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Solution

The fourth proportional to 407,999.16, 562,804.26 and 254,771.28 is: 351,437.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,999.16 : 562,804.26 = 254,771.28 : x
  2. Step 2: Convert to fraction form
    407,999.16/562,804.26 = 254,771.28/x
  3. Step 3: Cross multiply
    407,999.16x = 562,804.26 × 254,771.28
  4. Step 4: Simplify right side
    407,999.16x = 143,386,361,709.65
  5. Step 5: Solve for x
    x = 143,386,361,709.65/407,999.16
  6. Step 6: Final answer
    x = 351,437.88

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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.