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Finding the Fourth Proportional to 525,709.50, 725,479.75 and 283,992.06

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Solution

The fourth proportional to 525,709.50, 725,479.75 and 283,992.06 is: 391,909.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,709.50 : 725,479.75 = 283,992.06 : x
  2. Step 2: Convert to fraction form
    525,709.50/725,479.75 = 283,992.06/x
  3. Step 3: Cross multiply
    525,709.50x = 725,479.75 × 283,992.06
  4. Step 4: Simplify right side
    525,709.50x = 206,030,491,766.32
  5. Step 5: Solve for x
    x = 206,030,491,766.32/525,709.50
  6. Step 6: Final answer
    x = 391,909.40

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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.