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Finding the Fourth Proportional to 311,874.32, 430,386.82 and 168,634.46

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Solution

The fourth proportional to 311,874.32, 430,386.82 and 168,634.46 is: 232,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,874.32 : 430,386.82 = 168,634.46 : x
  2. Step 2: Convert to fraction form
    311,874.32/430,386.82 = 168,634.46/x
  3. Step 3: Cross multiply
    311,874.32x = 430,386.82 × 168,634.46
  4. Step 4: Simplify right side
    311,874.32x = 72,578,048,981.82
  5. Step 5: Solve for x
    x = 72,578,048,981.82/311,874.32
  6. Step 6: Final answer
    x = 232,715.69

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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.