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Finding the Fourth Proportional to 419,514.74, 578,939.28 and 228,527.72

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Solution

The fourth proportional to 419,514.74, 578,939.28 and 228,527.72 is: 315,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,514.74 : 578,939.28 = 228,527.72 : x
  2. Step 2: Convert to fraction form
    419,514.74/578,939.28 = 228,527.72/x
  3. Step 3: Cross multiply
    419,514.74x = 578,939.28 × 228,527.72
  4. Step 4: Simplify right side
    419,514.74x = 132,303,673,676.84
  5. Step 5: Solve for x
    x = 132,303,673,676.84/419,514.74
  6. Step 6: Final answer
    x = 315,373.12

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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.