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Finding the Fourth Proportional to 313,886.56, 433,258.32 and 213,342.88

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Solution

The fourth proportional to 313,886.56, 433,258.32 and 213,342.88 is: 294,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,886.56 : 433,258.32 = 213,342.88 : x
  2. Step 2: Convert to fraction form
    313,886.56/433,258.32 = 213,342.88/x
  3. Step 3: Cross multiply
    313,886.56x = 433,258.32 × 213,342.88
  4. Step 4: Simplify right side
    313,886.56x = 92,432,577,772.76
  5. Step 5: Solve for x
    x = 92,432,577,772.76/313,886.56
  6. Step 6: Final answer
    x = 294,477.65

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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.