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Finding the Fourth Proportional to 684,867.62, 945,497.41 and 413,004.40

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Solution

The fourth proportional to 684,867.62, 945,497.41 and 413,004.40 is: 570,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,867.62 : 945,497.41 = 413,004.40 : x
  2. Step 2: Convert to fraction form
    684,867.62/945,497.41 = 413,004.40/x
  3. Step 3: Cross multiply
    684,867.62x = 945,497.41 × 413,004.40
  4. Step 4: Simplify right side
    684,867.62x = 390,494,587,122.35
  5. Step 5: Solve for x
    x = 390,494,587,122.35/684,867.62
  6. Step 6: Final answer
    x = 570,175.28

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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.