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Finding the Fourth Proportional to 321,209.80, 481,814.70 and 288,032.20

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Solution

The fourth proportional to 321,209.80, 481,814.70 and 288,032.20 is: 432,048.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,209.80 : 481,814.70 = 288,032.20 : x
  2. Step 2: Convert to fraction form
    321,209.80/481,814.70 = 288,032.20/x
  3. Step 3: Cross multiply
    321,209.80x = 481,814.70 × 288,032.20
  4. Step 4: Simplify right side
    321,209.80x = 138,778,148,033.34
  5. Step 5: Solve for x
    x = 138,778,148,033.34/321,209.80
  6. Step 6: Final answer
    x = 432,048.30

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1.5x scale

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.