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Finding the Fourth Proportional to 419,188, 578,478.48 and 228,202.72

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Solution

The fourth proportional to 419,188, 578,478.48 and 228,202.72 is: 314,919.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,188 : 578,478.48 = 228,202.72 : x
  2. Step 2: Convert to fraction form
    419,188/578,478.48 = 228,202.72/x
  3. Step 3: Cross multiply
    419,188x = 578,478.48 × 228,202.72
  4. Step 4: Simplify right side
    419,188x = 132,010,362,597.47
  5. Step 5: Solve for x
    x = 132,010,362,597.47/419,188
  6. Step 6: Final answer
    x = 314,919.23

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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.