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Finding the Fourth Proportional to 405,393.12, 559,152.72 and 309,734.28

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Solution

The fourth proportional to 405,393.12, 559,152.72 and 309,734.28 is: 427,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,393.12 : 559,152.72 = 309,734.28 : x
  2. Step 2: Convert to fraction form
    405,393.12/559,152.72 = 309,734.28/x
  3. Step 3: Cross multiply
    405,393.12x = 559,152.72 × 309,734.28
  4. Step 4: Simplify right side
    405,393.12x = 173,188,765,139.24
  5. Step 5: Solve for x
    x = 173,188,765,139.24/405,393.12
  6. Step 6: Final answer
    x = 427,211.90

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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.