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Finding the Fourth Proportional to 490,737.26, 677,228.10 and 299,855.90

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Solution

The fourth proportional to 490,737.26, 677,228.10 and 299,855.90 is: 413,807.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,737.26 : 677,228.10 = 299,855.90 : x
  2. Step 2: Convert to fraction form
    490,737.26/677,228.10 = 299,855.90/x
  3. Step 3: Cross multiply
    490,737.26x = 677,228.10 × 299,855.90
  4. Step 4: Simplify right side
    490,737.26x = 203,070,841,430.79
  5. Step 5: Solve for x
    x = 203,070,841,430.79/490,737.26
  6. Step 6: Final answer
    x = 413,807.67

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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.