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Finding the Fourth Proportional to 314,672.57, 434,134.24 and 205,839.03

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Solution

The fourth proportional to 314,672.57, 434,134.24 and 205,839.03 is: 283,983.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,672.57 : 434,134.24 = 205,839.03 : x
  2. Step 2: Convert to fraction form
    314,672.57/434,134.24 = 205,839.03/x
  3. Step 3: Cross multiply
    314,672.57x = 434,134.24 × 205,839.03
  4. Step 4: Simplify right side
    314,672.57x = 89,361,771,322.71
  5. Step 5: Solve for x
    x = 89,361,771,322.71/314,672.57
  6. Step 6: Final answer
    x = 283,983.35

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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.