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Finding the Fourth Proportional to 525,259.96, 788,135.99 and 258,875.26

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Solution

The fourth proportional to 525,259.96, 788,135.99 and 258,875.26 is: 388,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,259.96 : 788,135.99 = 258,875.26 : x
  2. Step 2: Convert to fraction form
    525,259.96/788,135.99 = 258,875.26/x
  3. Step 3: Cross multiply
    525,259.96x = 788,135.99 × 258,875.26
  4. Step 4: Simplify right side
    525,259.96x = 204,028,909,326.61
  5. Step 5: Solve for x
    x = 204,028,909,326.61/525,259.96
  6. Step 6: Final answer
    x = 388,434.16

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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.