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Finding the Fourth Proportional to 528,419.94, 729,198.25 and 286,693.26

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Solution

The fourth proportional to 528,419.94, 729,198.25 and 286,693.26 is: 395,625.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,419.94 : 729,198.25 = 286,693.26 : x
  2. Step 2: Convert to fraction form
    528,419.94/729,198.25 = 286,693.26/x
  3. Step 3: Cross multiply
    528,419.94x = 729,198.25 × 286,693.26
  4. Step 4: Simplify right side
    528,419.94x = 209,056,222,045.33
  5. Step 5: Solve for x
    x = 209,056,222,045.33/528,419.94
  6. Step 6: Final answer
    x = 395,625.16

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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.