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Finding the Fourth Proportional to 419,049.70, 578,288.59 and 228,064.46

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Solution

The fourth proportional to 419,049.70, 578,288.59 and 228,064.46 is: 314,728.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,049.70 : 578,288.59 = 228,064.46 : x
  2. Step 2: Convert to fraction form
    419,049.70/578,288.59 = 228,064.46/x
  3. Step 3: Cross multiply
    419,049.70x = 578,288.59 × 228,064.46
  4. Step 4: Simplify right side
    419,049.70x = 131,887,075,435.21
  5. Step 5: Solve for x
    x = 131,887,075,435.21/419,049.70
  6. Step 6: Final answer
    x = 314,728.96

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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.