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Finding the Fourth Proportional to 419,037.54, 578,260.70 and 228,046.84

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Solution

The fourth proportional to 419,037.54, 578,260.70 and 228,046.84 is: 314,698.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,037.54 : 578,260.70 = 228,046.84 : x
  2. Step 2: Convert to fraction form
    419,037.54/578,260.70 = 228,046.84/x
  3. Step 3: Cross multiply
    419,037.54x = 578,260.70 × 228,046.84
  4. Step 4: Simplify right side
    419,037.54x = 131,870,525,331.19
  5. Step 5: Solve for x
    x = 131,870,525,331.19/419,037.54
  6. Step 6: Final answer
    x = 314,698.60

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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.