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Finding the Fourth Proportional to 550,798.14, 825,421.85 and 437,977.64

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Solution

The fourth proportional to 550,798.14, 825,421.85 and 437,977.64 is: 656,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,798.14 : 825,421.85 = 437,977.64 : x
  2. Step 2: Convert to fraction form
    550,798.14/825,421.85 = 437,977.64/x
  3. Step 3: Cross multiply
    550,798.14x = 825,421.85 × 437,977.64
  4. Step 4: Simplify right side
    550,798.14x = 361,516,307,550.44
  5. Step 5: Solve for x
    x = 361,516,307,550.44/550,798.14
  6. Step 6: Final answer
    x = 656,349.91

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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.