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Finding the Fourth Proportional to 685,641, 946,438.46 and 413,720.36

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Solution

The fourth proportional to 685,641, 946,438.46 and 413,720.36 is: 571,087.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,641 : 946,438.46 = 413,720.36 : x
  2. Step 2: Convert to fraction form
    685,641/946,438.46 = 413,720.36/x
  3. Step 3: Cross multiply
    685,641x = 946,438.46 × 413,720.36
  4. Step 4: Simplify right side
    685,641x = 391,560,853,588.25
  5. Step 5: Solve for x
    x = 391,560,853,588.25/685,641
  6. Step 6: Final answer
    x = 571,087.28

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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.