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Finding the Fourth Proportional to 309,046.40, 462,986.40 and 288,051.20

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Solution

The fourth proportional to 309,046.40, 462,986.40 and 288,051.20 is: 431,533.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,046.40 : 462,986.40 = 288,051.20 : x
  2. Step 2: Convert to fraction form
    309,046.40/462,986.40 = 288,051.20/x
  3. Step 3: Cross multiply
    309,046.40x = 462,986.40 × 288,051.20
  4. Step 4: Simplify right side
    309,046.40x = 133,363,788,103.68
  5. Step 5: Solve for x
    x = 133,363,788,103.68/309,046.40
  6. Step 6: Final answer
    x = 431,533.22

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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.