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Finding the Fourth Proportional to 407,675.21, 611,685.59 and 218,085.93

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Solution

The fourth proportional to 407,675.21, 611,685.59 and 218,085.93 is: 327,221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,675.21 : 611,685.59 = 218,085.93 : x
  2. Step 2: Convert to fraction form
    407,675.21/611,685.59 = 218,085.93/x
  3. Step 3: Cross multiply
    407,675.21x = 611,685.59 × 218,085.93
  4. Step 4: Simplify right side
    407,675.21x = 133,400,019,672.32
  5. Step 5: Solve for x
    x = 133,400,019,672.32/407,675.21
  6. Step 6: Final answer
    x = 327,221.32

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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.