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Finding the Fourth Proportional to 322,420.80, 483,631.20 and 283,054.80

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Solution

The fourth proportional to 322,420.80, 483,631.20 and 283,054.80 is: 424,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,420.80 : 483,631.20 = 283,054.80 : x
  2. Step 2: Convert to fraction form
    322,420.80/483,631.20 = 283,054.80/x
  3. Step 3: Cross multiply
    322,420.80x = 483,631.20 × 283,054.80
  4. Step 4: Simplify right side
    322,420.80x = 136,894,132,589.76
  5. Step 5: Solve for x
    x = 136,894,132,589.76/322,420.80
  6. Step 6: Final answer
    x = 424,582.20

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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.