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Finding the Fourth Proportional to 685,138.08, 945,871.52 and 413,274.56

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Solution

The fourth proportional to 685,138.08, 945,871.52 and 413,274.56 is: 570,548.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,138.08 : 945,871.52 = 413,274.56 : x
  2. Step 2: Convert to fraction form
    685,138.08/945,871.52 = 413,274.56/x
  3. Step 3: Cross multiply
    685,138.08x = 945,871.52 × 413,274.56
  4. Step 4: Simplify right side
    685,138.08x = 390,904,636,244.53
  5. Step 5: Solve for x
    x = 390,904,636,244.53/685,138.08
  6. Step 6: Final answer
    x = 570,548.69

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Double scale
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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.