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Finding the Fourth Proportional to 419,310.16, 578,650.29 and 228,323.60

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Solution

The fourth proportional to 419,310.16, 578,650.29 and 228,323.60 is: 315,087.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,310.16 : 578,650.29 = 228,323.60 : x
  2. Step 2: Convert to fraction form
    419,310.16/578,650.29 = 228,323.60/x
  3. Step 3: Cross multiply
    419,310.16x = 578,650.29 × 228,323.60
  4. Step 4: Simplify right side
    419,310.16x = 132,119,517,353.84
  5. Step 5: Solve for x
    x = 132,119,517,353.84/419,310.16
  6. Step 6: Final answer
    x = 315,087.80

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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.