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Finding the Fourth Proportional to 685,694.01, 946,264.68 and 413,709.32

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Solution

The fourth proportional to 685,694.01, 946,264.68 and 413,709.32 is: 570,923.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,694.01 : 946,264.68 = 413,709.32 : x
  2. Step 2: Convert to fraction form
    685,694.01/946,264.68 = 413,709.32/x
  3. Step 3: Cross multiply
    685,694.01x = 946,264.68 × 413,709.32
  4. Step 4: Simplify right side
    685,694.01x = 391,478,519,668.48
  5. Step 5: Solve for x
    x = 391,478,519,668.48/685,694.01
  6. Step 6: Final answer
    x = 570,923.06

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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.