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Finding the Fourth Proportional to 512,020.83, 706,628.83 and 282,623.67

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Solution

The fourth proportional to 512,020.83, 706,628.83 and 282,623.67 is: 390,042.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,020.83 : 706,628.83 = 282,623.67 : x
  2. Step 2: Convert to fraction form
    512,020.83/706,628.83 = 282,623.67/x
  3. Step 3: Cross multiply
    512,020.83x = 706,628.83 × 282,623.67
  4. Step 4: Simplify right side
    512,020.83x = 199,710,033,262.41
  5. Step 5: Solve for x
    x = 199,710,033,262.41/512,020.83
  6. Step 6: Final answer
    x = 390,042.79

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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.