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Finding the Fourth Proportional to 298,686.29, 446,996.07 and 286,286.00

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Solution

The fourth proportional to 298,686.29, 446,996.07 and 286,286.00 is: 428,438.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,686.29 : 446,996.07 = 286,286.00 : x
  2. Step 2: Convert to fraction form
    298,686.29/446,996.07 = 286,286.00/x
  3. Step 3: Cross multiply
    298,686.29x = 446,996.07 × 286,286.00
  4. Step 4: Simplify right side
    298,686.29x = 127,968,714,661.04
  5. Step 5: Solve for x
    x = 127,968,714,661.04/298,686.29
  6. Step 6: Final answer
    x = 428,438.54

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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.