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Finding the Fourth Proportional to 409,921, 565,690.98 and 231,073

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Solution

The fourth proportional to 409,921, 565,690.98 and 231,073 is: 318,880.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,921 : 565,690.98 = 231,073 : x
  2. Step 2: Convert to fraction form
    409,921/565,690.98 = 231,073/x
  3. Step 3: Cross multiply
    409,921x = 565,690.98 × 231,073
  4. Step 4: Simplify right side
    409,921x = 130,715,911,821.54
  5. Step 5: Solve for x
    x = 130,715,911,821.54/409,921
  6. Step 6: Final answer
    x = 318,880.74

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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.