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Finding the Fourth Proportional to 475,431.93, 656,116.40 and 284,408.42

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Solution

The fourth proportional to 475,431.93, 656,116.40 and 284,408.42 is: 392,495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,431.93 : 656,116.40 = 284,408.42 : x
  2. Step 2: Convert to fraction form
    475,431.93/656,116.40 = 284,408.42/x
  3. Step 3: Cross multiply
    475,431.93x = 656,116.40 × 284,408.42
  4. Step 4: Simplify right side
    475,431.93x = 186,605,026,090.53
  5. Step 5: Solve for x
    x = 186,605,026,090.53/475,431.93
  6. Step 6: Final answer
    x = 392,495.78

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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.