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Finding the Fourth Proportional to 368,964.96, 509,209.92 and 225,820.32

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Solution

The fourth proportional to 368,964.96, 509,209.92 and 225,820.32 is: 311,655.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,964.96 : 509,209.92 = 225,820.32 : x
  2. Step 2: Convert to fraction form
    368,964.96/509,209.92 = 225,820.32/x
  3. Step 3: Cross multiply
    368,964.96x = 509,209.92 × 225,820.32
  4. Step 4: Simplify right side
    368,964.96x = 114,989,947,081.57
  5. Step 5: Solve for x
    x = 114,989,947,081.57/368,964.96
  6. Step 6: Final answer
    x = 311,655.47

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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.