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Finding the Fourth Proportional to 419,429.88, 578,814.12 and 228,442.68

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Solution

The fourth proportional to 419,429.88, 578,814.12 and 228,442.68 is: 315,251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,429.88 : 578,814.12 = 228,442.68 : x
  2. Step 2: Convert to fraction form
    419,429.88/578,814.12 = 228,442.68/x
  3. Step 3: Cross multiply
    419,429.88x = 578,814.12 × 228,442.68
  4. Step 4: Simplify right side
    419,429.88x = 132,225,848,794.64
  5. Step 5: Solve for x
    x = 132,225,848,794.64/419,429.88
  6. Step 6: Final answer
    x = 315,251.38

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1.5x scale

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.