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Finding the Fourth Proportional to 419,715.12, 579,204.94 and 228,728.46

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Solution

The fourth proportional to 419,715.12, 579,204.94 and 228,728.46 is: 315,644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,715.12 : 579,204.94 = 228,728.46 : x
  2. Step 2: Convert to fraction form
    419,715.12/579,204.94 = 228,728.46/x
  3. Step 3: Cross multiply
    419,715.12x = 579,204.94 × 228,728.46
  4. Step 4: Simplify right side
    419,715.12x = 132,480,653,950.59
  5. Step 5: Solve for x
    x = 132,480,653,950.59/419,715.12
  6. Step 6: Final answer
    x = 315,644.23

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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.