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Finding the Fourth Proportional to 500,898.74, 691,311.12 and 309,973.64

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Solution

The fourth proportional to 500,898.74, 691,311.12 and 309,973.64 is: 427,807.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,898.74 : 691,311.12 = 309,973.64 : x
  2. Step 2: Convert to fraction form
    500,898.74/691,311.12 = 309,973.64/x
  3. Step 3: Cross multiply
    500,898.74x = 691,311.12 × 309,973.64
  4. Step 4: Simplify right side
    500,898.74x = 214,288,224,238.88
  5. Step 5: Solve for x
    x = 214,288,224,238.88/500,898.74
  6. Step 6: Final answer
    x = 427,807.47

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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.