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Finding the Fourth Proportional to 525,664, 725,416.32 and 287,200

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Solution

The fourth proportional to 525,664, 725,416.32 and 287,200 is: 396,336

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,664 : 725,416.32 = 287,200 : x
  2. Step 2: Convert to fraction form
    525,664/725,416.32 = 287,200/x
  3. Step 3: Cross multiply
    525,664x = 725,416.32 × 287,200
  4. Step 4: Simplify right side
    525,664x = 208,339,567,104
  5. Step 5: Solve for x
    x = 208,339,567,104/525,664
  6. Step 6: Final answer
    x = 396,336

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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.