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Finding the Fourth Proportional to 491,543.56, 737,315 and 281,033.84

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Solution

The fourth proportional to 491,543.56, 737,315 and 281,033.84 is: 421,550.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,543.56 : 737,315 = 281,033.84 : x
  2. Step 2: Convert to fraction form
    491,543.56/737,315 = 281,033.84/x
  3. Step 3: Cross multiply
    491,543.56x = 737,315 × 281,033.84
  4. Step 4: Simplify right side
    491,543.56x = 207,210,465,739.60
  5. Step 5: Solve for x
    x = 207,210,465,739.60/491,543.56
  6. Step 6: Final answer
    x = 421,550.57

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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.