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Finding the Fourth Proportional to 491,390.46, 737,056.53 and 289,100.34

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Solution

The fourth proportional to 491,390.46, 737,056.53 and 289,100.34 is: 433,633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,390.46 : 737,056.53 = 289,100.34 : x
  2. Step 2: Convert to fraction form
    491,390.46/737,056.53 = 289,100.34/x
  3. Step 3: Cross multiply
    491,390.46x = 737,056.53 × 289,100.34
  4. Step 4: Simplify right side
    491,390.46x = 213,083,293,422.22
  5. Step 5: Solve for x
    x = 213,083,293,422.22/491,390.46
  6. Step 6: Final answer
    x = 433,633.35

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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.