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Finding the Fourth Proportional to 360,446.80, 497,395.21 and 199,289.20

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Solution

The fourth proportional to 360,446.80, 497,395.21 and 199,289.20 is: 275,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,446.80 : 497,395.21 = 199,289.20 : x
  2. Step 2: Convert to fraction form
    360,446.80/497,395.21 = 199,289.20/x
  3. Step 3: Cross multiply
    360,446.80x = 497,395.21 × 199,289.20
  4. Step 4: Simplify right side
    360,446.80x = 99,125,490,001.31
  5. Step 5: Solve for x
    x = 99,125,490,001.31/360,446.80
  6. Step 6: Final answer
    x = 275,007.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.