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Finding the Fourth Proportional to 525,273.96, 788,157 and 258,889.26

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Solution

The fourth proportional to 525,273.96, 788,157 and 258,889.26 is: 388,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,273.96 : 788,157 = 258,889.26 : x
  2. Step 2: Convert to fraction form
    525,273.96/788,157 = 258,889.26/x
  3. Step 3: Cross multiply
    525,273.96x = 788,157 × 258,889.26
  4. Step 4: Simplify right side
    525,273.96x = 204,045,382,493.82
  5. Step 5: Solve for x
    x = 204,045,382,493.82/525,273.96
  6. Step 6: Final answer
    x = 388,455.16

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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.