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Finding the Fourth Proportional to 318,063.42, 438,928.47 and 174,838.14

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Solution

The fourth proportional to 318,063.42, 438,928.47 and 174,838.14 is: 241,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,063.42 : 438,928.47 = 174,838.14 : x
  2. Step 2: Convert to fraction form
    318,063.42/438,928.47 = 174,838.14/x
  3. Step 3: Cross multiply
    318,063.42x = 438,928.47 × 174,838.14
  4. Step 4: Simplify right side
    318,063.42x = 76,741,437,287.85
  5. Step 5: Solve for x
    x = 76,741,437,287.85/318,063.42
  6. Step 6: Final answer
    x = 241,277.16

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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.