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Finding the Fourth Proportional to 256,902.30, 354,864 and 197,210.58

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Solution

The fourth proportional to 256,902.30, 354,864 and 197,210.58 is: 272,410.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,902.30 : 354,864 = 197,210.58 : x
  2. Step 2: Convert to fraction form
    256,902.30/354,864 = 197,210.58/x
  3. Step 3: Cross multiply
    256,902.30x = 354,864 × 197,210.58
  4. Step 4: Simplify right side
    256,902.30x = 69,982,935,261.12
  5. Step 5: Solve for x
    x = 69,982,935,261.12/256,902.30
  6. Step 6: Final answer
    x = 272,410.70

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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.