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Finding the Fourth Proportional to 405,307.20, 606,211.20 and 342,321.60

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Solution

The fourth proportional to 405,307.20, 606,211.20 and 342,321.60 is: 512,004.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,307.20 : 606,211.20 = 342,321.60 : x
  2. Step 2: Convert to fraction form
    405,307.20/606,211.20 = 342,321.60/x
  3. Step 3: Cross multiply
    405,307.20x = 606,211.20 × 342,321.60
  4. Step 4: Simplify right side
    405,307.20x = 207,519,187,921.92
  5. Step 5: Solve for x
    x = 207,519,187,921.92/405,307.20
  6. Step 6: Final answer
    x = 512,004.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.