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Finding the Fourth Proportional to 656,318, 905,719.20 and 354,512

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Solution

The fourth proportional to 656,318, 905,719.20 and 354,512 is: 489,226.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,318 : 905,719.20 = 354,512 : x
  2. Step 2: Convert to fraction form
    656,318/905,719.20 = 354,512/x
  3. Step 3: Cross multiply
    656,318x = 905,719.20 × 354,512
  4. Step 4: Simplify right side
    656,318x = 321,088,325,030.40
  5. Step 5: Solve for x
    x = 321,088,325,030.40/656,318
  6. Step 6: Final answer
    x = 489,226.75

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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.