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Finding the Fourth Proportional to 412,381.40, 569,100.32 and 393,485.72

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Solution

The fourth proportional to 412,381.40, 569,100.32 and 393,485.72 is: 543,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,381.40 : 569,100.32 = 393,485.72 : x
  2. Step 2: Convert to fraction form
    412,381.40/569,100.32 = 393,485.72/x
  3. Step 3: Cross multiply
    412,381.40x = 569,100.32 × 393,485.72
  4. Step 4: Simplify right side
    412,381.40x = 223,932,849,167.43
  5. Step 5: Solve for x
    x = 223,932,849,167.43/412,381.40
  6. Step 6: Final answer
    x = 543,023.64

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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.