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Finding the Fourth Proportional to 408,240, 563,390.40 and 226,954.92

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Solution

The fourth proportional to 408,240, 563,390.40 and 226,954.92 is: 313,208.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,240 : 563,390.40 = 226,954.92 : x
  2. Step 2: Convert to fraction form
    408,240/563,390.40 = 226,954.92/x
  3. Step 3: Cross multiply
    408,240x = 563,390.40 × 226,954.92
  4. Step 4: Simplify right side
    408,240x = 127,864,223,160.77
  5. Step 5: Solve for x
    x = 127,864,223,160.77/408,240
  6. Step 6: Final answer
    x = 313,208.46

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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.