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Finding the Fourth Proportional to 510,765.67, 704,878.41 and 284,411.17

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Solution

The fourth proportional to 510,765.67, 704,878.41 and 284,411.17 is: 392,499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,765.67 : 704,878.41 = 284,411.17 : x
  2. Step 2: Convert to fraction form
    510,765.67/704,878.41 = 284,411.17/x
  3. Step 3: Cross multiply
    510,765.67x = 704,878.41 × 284,411.17
  4. Step 4: Simplify right side
    510,765.67x = 200,475,293,295.84
  5. Step 5: Solve for x
    x = 200,475,293,295.84/510,765.67
  6. Step 6: Final answer
    x = 392,499.55

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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.