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Finding the Fourth Proportional to 298,701.29, 447,018.57 and 286,301.00

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Solution

The fourth proportional to 298,701.29, 447,018.57 and 286,301.00 is: 428,461.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,701.29 : 447,018.57 = 286,301.00 : x
  2. Step 2: Convert to fraction form
    298,701.29/447,018.57 = 286,301.00/x
  3. Step 3: Cross multiply
    298,701.29x = 447,018.57 × 286,301.00
  4. Step 4: Simplify right side
    298,701.29x = 127,981,861,374.48
  5. Step 5: Solve for x
    x = 127,981,861,374.48/298,701.29
  6. Step 6: Final answer
    x = 428,461.03

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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.