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Finding the Fourth Proportional to 525,242.08, 788,109.14 and 258,857.28

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Solution

The fourth proportional to 525,242.08, 788,109.14 and 258,857.28 is: 388,407.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,242.08 : 788,109.14 = 258,857.28 : x
  2. Step 2: Convert to fraction form
    525,242.08/788,109.14 = 258,857.28/x
  3. Step 3: Cross multiply
    525,242.08x = 788,109.14 × 258,857.28
  4. Step 4: Simplify right side
    525,242.08x = 204,007,784,382.99
  5. Step 5: Solve for x
    x = 204,007,784,382.99/525,242.08
  6. Step 6: Final answer
    x = 388,407.16

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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.