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Finding the Fourth Proportional to 462,535.94, 638,065.82 and 309,580.54

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Solution

The fourth proportional to 462,535.94, 638,065.82 and 309,580.54 is: 427,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,535.94 : 638,065.82 = 309,580.54 : x
  2. Step 2: Convert to fraction form
    462,535.94/638,065.82 = 309,580.54/x
  3. Step 3: Cross multiply
    462,535.94x = 638,065.82 × 309,580.54
  4. Step 4: Simplify right side
    462,535.94x = 197,532,760,289.93
  5. Step 5: Solve for x
    x = 197,532,760,289.93/462,535.94
  6. Step 6: Final answer
    x = 427,064.67

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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.