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Finding the Fourth Proportional to 342,882.42, 514,405.71 and 143,091.66

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Solution

The fourth proportional to 342,882.42, 514,405.71 and 143,091.66 is: 214,671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,882.42 : 514,405.71 = 143,091.66 : x
  2. Step 2: Convert to fraction form
    342,882.42/514,405.71 = 143,091.66/x
  3. Step 3: Cross multiply
    342,882.42x = 514,405.71 × 143,091.66
  4. Step 4: Simplify right side
    342,882.42x = 73,607,166,957.38
  5. Step 5: Solve for x
    x = 73,607,166,957.38/342,882.42
  6. Step 6: Final answer
    x = 214,671.74

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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.