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Finding the Fourth Proportional to 521,816.23, 781,986.23 and 221,994.93

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Solution

The fourth proportional to 521,816.23, 781,986.23 and 221,994.93 is: 332,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,816.23 : 781,986.23 = 221,994.93 : x
  2. Step 2: Convert to fraction form
    521,816.23/781,986.23 = 221,994.93/x
  3. Step 3: Cross multiply
    521,816.23x = 781,986.23 × 221,994.93
  4. Step 4: Simplify right side
    521,816.23x = 173,596,976,021.74
  5. Step 5: Solve for x
    x = 173,596,976,021.74/521,816.23
  6. Step 6: Final answer
    x = 332,678.38

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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.