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Finding the Fourth Proportional to 410,973.12, 566,982.72 and 257,922

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Solution

The fourth proportional to 410,973.12, 566,982.72 and 257,922 is: 355,831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,973.12 : 566,982.72 = 257,922 : x
  2. Step 2: Convert to fraction form
    410,973.12/566,982.72 = 257,922/x
  3. Step 3: Cross multiply
    410,973.12x = 566,982.72 × 257,922
  4. Step 4: Simplify right side
    410,973.12x = 146,237,317,107.84
  5. Step 5: Solve for x
    x = 146,237,317,107.84/410,973.12
  6. Step 6: Final answer
    x = 355,831.83

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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.