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Finding the Fourth Proportional to 510,636.14, 704,678.91 and 284,289.74

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Solution

The fourth proportional to 510,636.14, 704,678.91 and 284,289.74 is: 392,320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,636.14 : 704,678.91 = 284,289.74 : x
  2. Step 2: Convert to fraction form
    510,636.14/704,678.91 = 284,289.74/x
  3. Step 3: Cross multiply
    510,636.14x = 704,678.91 × 284,289.74
  4. Step 4: Simplify right side
    510,636.14x = 200,332,984,107.38
  5. Step 5: Solve for x
    x = 200,332,984,107.38/510,636.14
  6. Step 6: Final answer
    x = 392,320.42

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1.5x scale

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.