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Finding the Fourth Proportional to 553,486.33, 830,491.94 and 329,289.67

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Solution

The fourth proportional to 553,486.33, 830,491.94 and 329,289.67 is: 494,090.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,486.33 : 830,491.94 = 329,289.67 : x
  2. Step 2: Convert to fraction form
    553,486.33/830,491.94 = 329,289.67/x
  3. Step 3: Cross multiply
    553,486.33x = 830,491.94 × 329,289.67
  4. Step 4: Simplify right side
    553,486.33x = 273,472,416,860.26
  5. Step 5: Solve for x
    x = 273,472,416,860.26/553,486.33
  6. Step 6: Final answer
    x = 494,090.64

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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.