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Finding the Fourth Proportional to 469,128.82, 647,457.73 and 262,408.70

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Solution

The fourth proportional to 469,128.82, 647,457.73 and 262,408.70 is: 362,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,128.82 : 647,457.73 = 262,408.70 : x
  2. Step 2: Convert to fraction form
    469,128.82/647,457.73 = 262,408.70/x
  3. Step 3: Cross multiply
    469,128.82x = 647,457.73 × 262,408.70
  4. Step 4: Simplify right side
    469,128.82x = 169,898,537,996.96
  5. Step 5: Solve for x
    x = 169,898,537,996.96/469,128.82
  6. Step 6: Final answer
    x = 362,157.54

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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.