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Finding the Fourth Proportional to 419,661, 579,132.45 and 228,674.34

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Solution

The fourth proportional to 419,661, 579,132.45 and 228,674.34 is: 315,570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,661 : 579,132.45 = 228,674.34 : x
  2. Step 2: Convert to fraction form
    419,661/579,132.45 = 228,674.34/x
  3. Step 3: Cross multiply
    419,661x = 579,132.45 × 228,674.34
  4. Step 4: Simplify right side
    419,661x = 132,432,730,776.33
  5. Step 5: Solve for x
    x = 132,432,730,776.33/419,661
  6. Step 6: Final answer
    x = 315,570.74

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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.