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Finding the Fourth Proportional to 463,846.40, 694,214.40 and 407,859.20

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Solution

The fourth proportional to 463,846.40, 694,214.40 and 407,859.20 is: 610,421.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,846.40 : 694,214.40 = 407,859.20 : x
  2. Step 2: Convert to fraction form
    463,846.40/694,214.40 = 407,859.20/x
  3. Step 3: Cross multiply
    463,846.40x = 694,214.40 × 407,859.20
  4. Step 4: Simplify right side
    463,846.40x = 283,141,729,812.48
  5. Step 5: Solve for x
    x = 283,141,729,812.48/463,846.40
  6. Step 6: Final answer
    x = 610,421.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.