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Finding the Fourth Proportional to 667,271.14, 920,836.67 and 361,347.66

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Solution

The fourth proportional to 667,271.14, 920,836.67 and 361,347.66 is: 498,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,271.14 : 920,836.67 = 361,347.66 : x
  2. Step 2: Convert to fraction form
    667,271.14/920,836.67 = 361,347.66/x
  3. Step 3: Cross multiply
    667,271.14x = 920,836.67 × 361,347.66
  4. Step 4: Simplify right side
    667,271.14x = 332,742,175,946.69
  5. Step 5: Solve for x
    x = 332,742,175,946.69/667,271.14
  6. Step 6: Final answer
    x = 498,661.12

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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.