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Finding the Fourth Proportional to 665,859.62, 918,942.57 and 407,735.30

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Solution

The fourth proportional to 665,859.62, 918,942.57 and 407,735.30 is: 562,709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,859.62 : 918,942.57 = 407,735.30 : x
  2. Step 2: Convert to fraction form
    665,859.62/918,942.57 = 407,735.30/x
  3. Step 3: Cross multiply
    665,859.62x = 918,942.57 × 407,735.30
  4. Step 4: Simplify right side
    665,859.62x = 374,685,326,759.08
  5. Step 5: Solve for x
    x = 374,685,326,759.08/665,859.62
  6. Step 6: Final answer
    x = 562,709.19

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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.