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Finding the Fourth Proportional to 601,670, 830,313.78 and 329,735.68

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Solution

The fourth proportional to 601,670, 830,313.78 and 329,735.68 is: 455,040.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,670 : 830,313.78 = 329,735.68 : x
  2. Step 2: Convert to fraction form
    601,670/830,313.78 = 329,735.68/x
  3. Step 3: Cross multiply
    601,670x = 830,313.78 × 329,735.68
  4. Step 4: Simplify right side
    601,670x = 273,784,078,861.67
  5. Step 5: Solve for x
    x = 273,784,078,861.67/601,670
  6. Step 6: Final answer
    x = 455,040.27

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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.