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Finding the Fourth Proportional to 446,306.20, 615,674.82 and 284,991.64

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Solution

The fourth proportional to 446,306.20, 615,674.82 and 284,991.64 is: 393,143.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,306.20 : 615,674.82 = 284,991.64 : x
  2. Step 2: Convert to fraction form
    446,306.20/615,674.82 = 284,991.64/x
  3. Step 3: Cross multiply
    446,306.20x = 615,674.82 × 284,991.64
  4. Step 4: Simplify right side
    446,306.20x = 175,462,176,658.51
  5. Step 5: Solve for x
    x = 175,462,176,658.51/446,306.20
  6. Step 6: Final answer
    x = 393,143.04

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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.