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Finding the Fourth Proportional to 478,348.96, 659,744.88 and 296,958.56

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Solution

The fourth proportional to 478,348.96, 659,744.88 and 296,958.56 is: 409,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,348.96 : 659,744.88 = 296,958.56 : x
  2. Step 2: Convert to fraction form
    478,348.96/659,744.88 = 296,958.56/x
  3. Step 3: Cross multiply
    478,348.96x = 659,744.88 × 296,958.56
  4. Step 4: Simplify right side
    478,348.96x = 195,916,889,532.17
  5. Step 5: Solve for x
    x = 195,916,889,532.17/478,348.96
  6. Step 6: Final answer
    x = 409,568.97

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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.