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Finding the Fourth Proportional to 256,985.97, 354,300.85 and 210,876.72

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Solution

The fourth proportional to 256,985.97, 354,300.85 and 210,876.72 is: 290,731.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,985.97 : 354,300.85 = 210,876.72 : x
  2. Step 2: Convert to fraction form
    256,985.97/354,300.85 = 210,876.72/x
  3. Step 3: Cross multiply
    256,985.97x = 354,300.85 × 210,876.72
  4. Step 4: Simplify right side
    256,985.97x = 74,713,801,141.21
  5. Step 5: Solve for x
    x = 74,713,801,141.21/256,985.97
  6. Step 6: Final answer
    x = 290,731.05

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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.