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Finding the Fourth Proportional to 419,090.74, 578,347.62 and 228,103.67

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Solution

The fourth proportional to 419,090.74, 578,347.62 and 228,103.67 is: 314,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,090.74 : 578,347.62 = 228,103.67 : x
  2. Step 2: Convert to fraction form
    419,090.74/578,347.62 = 228,103.67/x
  3. Step 3: Cross multiply
    419,090.74x = 578,347.62 × 228,103.67
  4. Step 4: Simplify right side
    419,090.74x = 131,923,214,657.77
  5. Step 5: Solve for x
    x = 131,923,214,657.77/419,090.74
  6. Step 6: Final answer
    x = 314,784.37

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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.