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Finding the Fourth Proportional to 671,905, 1,007,857.50 and 277,921

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Solution

The fourth proportional to 671,905, 1,007,857.50 and 277,921 is: 416,881.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,905 : 1,007,857.50 = 277,921 : x
  2. Step 2: Convert to fraction form
    671,905/1,007,857.50 = 277,921/x
  3. Step 3: Cross multiply
    671,905x = 1,007,857.50 × 277,921
  4. Step 4: Simplify right side
    671,905x = 280,104,764,257.50
  5. Step 5: Solve for x
    x = 280,104,764,257.50/671,905
  6. Step 6: Final answer
    x = 416,881.50

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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.