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Finding the Fourth Proportional to 485,676.84, 670,299.78 and 284,553

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Solution

The fourth proportional to 485,676.84, 670,299.78 and 284,553 is: 392,721.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,676.84 : 670,299.78 = 284,553 : x
  2. Step 2: Convert to fraction form
    485,676.84/670,299.78 = 284,553/x
  3. Step 3: Cross multiply
    485,676.84x = 670,299.78 × 284,553
  4. Step 4: Simplify right side
    485,676.84x = 190,735,813,298.34
  5. Step 5: Solve for x
    x = 190,735,813,298.34/485,676.84
  6. Step 6: Final answer
    x = 392,721.66

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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.