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Finding the Fourth Proportional to 685,439.62, 945,608.88 and 413,356.32

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Solution

The fourth proportional to 685,439.62, 945,608.88 and 413,356.32 is: 570,252.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,439.62 : 945,608.88 = 413,356.32 : x
  2. Step 2: Convert to fraction form
    685,439.62/945,608.88 = 413,356.32/x
  3. Step 3: Cross multiply
    685,439.62x = 945,608.88 × 413,356.32
  4. Step 4: Simplify right side
    685,439.62x = 390,873,407,016.45
  5. Step 5: Solve for x
    x = 390,873,407,016.45/685,439.62
  6. Step 6: Final answer
    x = 570,252.13

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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.