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Finding the Fourth Proportional to 524,376.42, 723,694.95 and 320,546.64

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Solution

The fourth proportional to 524,376.42, 723,694.95 and 320,546.64 is: 442,388.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,376.42 : 723,694.95 = 320,546.64 : x
  2. Step 2: Convert to fraction form
    524,376.42/723,694.95 = 320,546.64/x
  3. Step 3: Cross multiply
    524,376.42x = 723,694.95 × 320,546.64
  4. Step 4: Simplify right side
    524,376.42x = 231,977,984,607.47
  5. Step 5: Solve for x
    x = 231,977,984,607.47/524,376.42
  6. Step 6: Final answer
    x = 442,388.28

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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.