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Finding the Fourth Proportional to 319,103.54, 440,475.67 and 285,052.89

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Solution

The fourth proportional to 319,103.54, 440,475.67 and 285,052.89 is: 393,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,103.54 : 440,475.67 = 285,052.89 : x
  2. Step 2: Convert to fraction form
    319,103.54/440,475.67 = 285,052.89/x
  3. Step 3: Cross multiply
    319,103.54x = 440,475.67 × 285,052.89
  4. Step 4: Simplify right side
    319,103.54x = 125,558,862,708.19
  5. Step 5: Solve for x
    x = 125,558,862,708.19/319,103.54
  6. Step 6: Final answer
    x = 393,473.74

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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.