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Finding the Fourth Proportional to 286,272.51, 431,419.40 and 257,845.16

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Solution

The fourth proportional to 286,272.51, 431,419.40 and 257,845.16 is: 388,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,272.51 : 431,419.40 = 257,845.16 : x
  2. Step 2: Convert to fraction form
    286,272.51/431,419.40 = 257,845.16/x
  3. Step 3: Cross multiply
    286,272.51x = 431,419.40 × 257,845.16
  4. Step 4: Simplify right side
    286,272.51x = 111,239,400,773.78
  5. Step 5: Solve for x
    x = 111,239,400,773.78/286,272.51
  6. Step 6: Final answer
    x = 388,578.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.