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Finding the Fourth Proportional to 685,962.64, 946,457.44 and 395,662.96

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Solution

The fourth proportional to 685,962.64, 946,457.44 and 395,662.96 is: 545,916.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,962.64 : 946,457.44 = 395,662.96 : x
  2. Step 2: Convert to fraction form
    685,962.64/946,457.44 = 395,662.96/x
  3. Step 3: Cross multiply
    685,962.64x = 946,457.44 × 395,662.96
  4. Step 4: Simplify right side
    685,962.64x = 374,478,152,224.42
  5. Step 5: Solve for x
    x = 374,478,152,224.42/685,962.64
  6. Step 6: Final answer
    x = 545,916.25

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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.