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Finding the Fourth Proportional to 437,564.64, 656,457.63 and 122,021.58

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Solution

The fourth proportional to 437,564.64, 656,457.63 and 122,021.58 is: 183,063.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,564.64 : 656,457.63 = 122,021.58 : x
  2. Step 2: Convert to fraction form
    437,564.64/656,457.63 = 122,021.58/x
  3. Step 3: Cross multiply
    437,564.64x = 656,457.63 × 122,021.58
  4. Step 4: Simplify right side
    437,564.64x = 80,101,997,215.66
  5. Step 5: Solve for x
    x = 80,101,997,215.66/437,564.64
  6. Step 6: Final answer
    x = 183,063.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.