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Finding the Fourth Proportional to 400,867.88, 551,938.74 and 340,313

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Solution

The fourth proportional to 400,867.88, 551,938.74 and 340,313 is: 468,563.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,867.88 : 551,938.74 = 340,313 : x
  2. Step 2: Convert to fraction form
    400,867.88/551,938.74 = 340,313/x
  3. Step 3: Cross multiply
    400,867.88x = 551,938.74 × 340,313
  4. Step 4: Simplify right side
    400,867.88x = 187,831,928,425.62
  5. Step 5: Solve for x
    x = 187,831,928,425.62/400,867.88
  6. Step 6: Final answer
    x = 468,563.18

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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.