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Finding the Fourth Proportional to 360,809.42, 497,909.52 and 199,664.36

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Solution

The fourth proportional to 360,809.42, 497,909.52 and 199,664.36 is: 275,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,809.42 : 497,909.52 = 199,664.36 : x
  2. Step 2: Convert to fraction form
    360,809.42/497,909.52 = 199,664.36/x
  3. Step 3: Cross multiply
    360,809.42x = 497,909.52 × 199,664.36
  4. Step 4: Simplify right side
    360,809.42x = 99,414,785,648.71
  5. Step 5: Solve for x
    x = 99,414,785,648.71/360,809.42
  6. Step 6: Final answer
    x = 275,532.68

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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.