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Finding the Fourth Proportional to 256,688.84, 354,088.42 and 149,247

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Solution

The fourth proportional to 256,688.84, 354,088.42 and 149,247 is: 205,878.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,688.84 : 354,088.42 = 149,247 : x
  2. Step 2: Convert to fraction form
    256,688.84/354,088.42 = 149,247/x
  3. Step 3: Cross multiply
    256,688.84x = 354,088.42 × 149,247
  4. Step 4: Simplify right side
    256,688.84x = 52,846,634,419.74
  5. Step 5: Solve for x
    x = 52,846,634,419.74/256,688.84
  6. Step 6: Final answer
    x = 205,878.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.