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Finding the Fourth Proportional to 309,050.40, 462,992.40 and 288,055.20

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Solution

The fourth proportional to 309,050.40, 462,992.40 and 288,055.20 is: 431,539.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,050.40 : 462,992.40 = 288,055.20 : x
  2. Step 2: Convert to fraction form
    309,050.40/462,992.40 = 288,055.20/x
  3. Step 3: Cross multiply
    309,050.40x = 462,992.40 × 288,055.20
  4. Step 4: Simplify right side
    309,050.40x = 133,367,368,380.48
  5. Step 5: Solve for x
    x = 133,367,368,380.48/309,050.40
  6. Step 6: Final answer
    x = 431,539.22

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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.