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Finding the Fourth Proportional to 525,240.24, 787,909.90 and 407,043.96

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Solution

The fourth proportional to 525,240.24, 787,909.90 and 407,043.96 is: 610,604.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,240.24 : 787,909.90 = 407,043.96 : x
  2. Step 2: Convert to fraction form
    525,240.24/787,909.90 = 407,043.96/x
  3. Step 3: Cross multiply
    525,240.24x = 787,909.90 × 407,043.96
  4. Step 4: Simplify right side
    525,240.24x = 320,713,965,819.20
  5. Step 5: Solve for x
    x = 320,713,965,819.20/525,240.24
  6. Step 6: Final answer
    x = 610,604.33

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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.