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Finding the Fourth Proportional to 419,143.32, 578,394.24 and 228,145.32

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Solution

The fourth proportional to 419,143.32, 578,394.24 and 228,145.32 is: 314,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,143.32 : 578,394.24 = 228,145.32 : x
  2. Step 2: Convert to fraction form
    419,143.32/578,394.24 = 228,145.32/x
  3. Step 3: Cross multiply
    419,143.32x = 578,394.24 × 228,145.32
  4. Step 4: Simplify right side
    419,143.32x = 131,957,938,970.96
  5. Step 5: Solve for x
    x = 131,957,938,970.96/419,143.32
  6. Step 6: Final answer
    x = 314,827.73

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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.