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Finding the Fourth Proportional to 319,096.79, 440,466.32 and 285,046.11

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Solution

The fourth proportional to 319,096.79, 440,466.32 and 285,046.11 is: 393,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,096.79 : 440,466.32 = 285,046.11 : x
  2. Step 2: Convert to fraction form
    319,096.79/440,466.32 = 285,046.11/x
  3. Step 3: Cross multiply
    319,096.79x = 440,466.32 × 285,046.11
  4. Step 4: Simplify right side
    319,096.79x = 125,553,211,102.02
  5. Step 5: Solve for x
    x = 125,553,211,102.02/319,096.79
  6. Step 6: Final answer
    x = 393,464.35

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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.