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Finding the Fourth Proportional to 342,153.84, 513,318.22 and 142,407.84

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Solution

The fourth proportional to 342,153.84, 513,318.22 and 142,407.84 is: 213,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,153.84 : 513,318.22 = 142,407.84 : x
  2. Step 2: Convert to fraction form
    342,153.84/513,318.22 = 142,407.84/x
  3. Step 3: Cross multiply
    342,153.84x = 513,318.22 × 142,407.84
  4. Step 4: Simplify right side
    342,153.84x = 73,100,538,942.84
  5. Step 5: Solve for x
    x = 73,100,538,942.84/342,153.84
  6. Step 6: Final answer
    x = 213,648.16

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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.