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Finding the Fourth Proportional to 407,871.60, 562,705.74 and 300,696.42

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Solution

The fourth proportional to 407,871.60, 562,705.74 and 300,696.42 is: 414,845.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,871.60 : 562,705.74 = 300,696.42 : x
  2. Step 2: Convert to fraction form
    407,871.60/562,705.74 = 300,696.42/x
  3. Step 3: Cross multiply
    407,871.60x = 562,705.74 × 300,696.42
  4. Step 4: Simplify right side
    407,871.60x = 169,203,601,531.45
  5. Step 5: Solve for x
    x = 169,203,601,531.45/407,871.60
  6. Step 6: Final answer
    x = 414,845.26

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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.