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Finding the Fourth Proportional to 685,643, 946,441.22 and 413,722.36

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Solution

The fourth proportional to 685,643, 946,441.22 and 413,722.36 is: 571,090.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,643 : 946,441.22 = 413,722.36 : x
  2. Step 2: Convert to fraction form
    685,643/946,441.22 = 413,722.36/x
  3. Step 3: Cross multiply
    685,643x = 946,441.22 × 413,722.36
  4. Step 4: Simplify right side
    685,643x = 391,563,895,139.68
  5. Step 5: Solve for x
    x = 391,563,895,139.68/685,643
  6. Step 6: Final answer
    x = 571,090.05

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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.