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Finding the Fourth Proportional to 289,042.60, 433,304.70 and 257,549.80

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Solution

The fourth proportional to 289,042.60, 433,304.70 and 257,549.80 is: 386,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,042.60 : 433,304.70 = 257,549.80 : x
  2. Step 2: Convert to fraction form
    289,042.60/433,304.70 = 257,549.80/x
  3. Step 3: Cross multiply
    289,042.60x = 433,304.70 × 257,549.80
  4. Step 4: Simplify right side
    289,042.60x = 111,597,538,824.06
  5. Step 5: Solve for x
    x = 111,597,538,824.06/289,042.60
  6. Step 6: Final answer
    x = 386,093.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.