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Finding the Fourth Proportional to 419,284.56, 578,605.20 and 228,294.48

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Solution

The fourth proportional to 419,284.56, 578,605.20 and 228,294.48 is: 315,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,284.56 : 578,605.20 = 228,294.48 : x
  2. Step 2: Convert to fraction form
    419,284.56/578,605.20 = 228,294.48/x
  3. Step 3: Cross multiply
    419,284.56x = 578,605.20 × 228,294.48
  4. Step 4: Simplify right side
    419,284.56x = 132,092,373,259.30
  5. Step 5: Solve for x
    x = 132,092,373,259.30/419,284.56
  6. Step 6: Final answer
    x = 315,042.30

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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.