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Finding the Fourth Proportional to 256,852.08, 354,369.42 and 149,334.30

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Solution

The fourth proportional to 256,852.08, 354,369.42 and 149,334.30 is: 206,031.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,852.08 : 354,369.42 = 149,334.30 : x
  2. Step 2: Convert to fraction form
    256,852.08/354,369.42 = 149,334.30/x
  3. Step 3: Cross multiply
    256,852.08x = 354,369.42 × 149,334.30
  4. Step 4: Simplify right side
    256,852.08x = 52,919,509,277.11
  5. Step 5: Solve for x
    x = 52,919,509,277.11/256,852.08
  6. Step 6: Final answer
    x = 206,031.07

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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.