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Finding the Fourth Proportional to 677,284.80, 1,016,704.80 and 411,345.60

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Solution

The fourth proportional to 677,284.80, 1,016,704.80 and 411,345.60 is: 617,490.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,284.80 : 1,016,704.80 = 411,345.60 : x
  2. Step 2: Convert to fraction form
    677,284.80/1,016,704.80 = 411,345.60/x
  3. Step 3: Cross multiply
    677,284.80x = 1,016,704.80 × 411,345.60
  4. Step 4: Simplify right side
    677,284.80x = 418,217,045,978.88
  5. Step 5: Solve for x
    x = 418,217,045,978.88/677,284.80
  6. Step 6: Final answer
    x = 617,490.67

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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.