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Finding the Fourth Proportional to 510,895.17, 705,057.12 and 284,540.67

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Solution

The fourth proportional to 510,895.17, 705,057.12 and 284,540.67 is: 392,678.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,895.17 : 705,057.12 = 284,540.67 : x
  2. Step 2: Convert to fraction form
    510,895.17/705,057.12 = 284,540.67/x
  3. Step 3: Cross multiply
    510,895.17x = 705,057.12 × 284,540.67
  4. Step 4: Simplify right side
    510,895.17x = 200,617,425,313.07
  5. Step 5: Solve for x
    x = 200,617,425,313.07/510,895.17
  6. Step 6: Final answer
    x = 392,678.26

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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.