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Finding the Fourth Proportional to 405,215.80, 606,948.90 and 263,498.20

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Solution

The fourth proportional to 405,215.80, 606,948.90 and 263,498.20 is: 394,678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,215.80 : 606,948.90 = 263,498.20 : x
  2. Step 2: Convert to fraction form
    405,215.80/606,948.90 = 263,498.20/x
  3. Step 3: Cross multiply
    405,215.80x = 606,948.90 × 263,498.20
  4. Step 4: Simplify right side
    405,215.80x = 159,929,942,641.98
  5. Step 5: Solve for x
    x = 159,929,942,641.98/405,215.80
  6. Step 6: Final answer
    x = 394,678.45

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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.