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Finding the Fourth Proportional to 523,145.67, 721,891.15 and 293,650.40

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Solution

The fourth proportional to 523,145.67, 721,891.15 and 293,650.40 is: 405,209.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,145.67 : 721,891.15 = 293,650.40 : x
  2. Step 2: Convert to fraction form
    523,145.67/721,891.15 = 293,650.40/x
  3. Step 3: Cross multiply
    523,145.67x = 721,891.15 × 293,650.40
  4. Step 4: Simplify right side
    523,145.67x = 211,983,624,953.96
  5. Step 5: Solve for x
    x = 211,983,624,953.96/523,145.67
  6. Step 6: Final answer
    x = 405,209.56

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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.