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Finding the Fourth Proportional to 525,265.96, 788,145 and 258,881.26

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Solution

The fourth proportional to 525,265.96, 788,145 and 258,881.26 is: 388,443.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,265.96 : 788,145 = 258,881.26 : x
  2. Step 2: Convert to fraction form
    525,265.96/788,145 = 258,881.26/x
  3. Step 3: Cross multiply
    525,265.96x = 788,145 × 258,881.26
  4. Step 4: Simplify right side
    525,265.96x = 204,035,970,662.70
  5. Step 5: Solve for x
    x = 204,035,970,662.70/525,265.96
  6. Step 6: Final answer
    x = 388,443.16

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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.