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Finding the Fourth Proportional to 309,730.40, 465,632.40 and 264,111.20

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Solution

The fourth proportional to 309,730.40, 465,632.40 and 264,111.20 is: 397,050.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,730.40 : 465,632.40 = 264,111.20 : x
  2. Step 2: Convert to fraction form
    309,730.40/465,632.40 = 264,111.20/x
  3. Step 3: Cross multiply
    309,730.40x = 465,632.40 × 264,111.20
  4. Step 4: Simplify right side
    309,730.40x = 122,978,731,922.88
  5. Step 5: Solve for x
    x = 122,978,731,922.88/309,730.40
  6. Step 6: Final answer
    x = 397,050.89

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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.