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Finding the Fourth Proportional to 315,886.12, 435,929.84 and 172,655.44

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Solution

The fourth proportional to 315,886.12, 435,929.84 and 172,655.44 is: 238,268.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,886.12 : 435,929.84 = 172,655.44 : x
  2. Step 2: Convert to fraction form
    315,886.12/435,929.84 = 172,655.44/x
  3. Step 3: Cross multiply
    315,886.12x = 435,929.84 × 172,655.44
  4. Step 4: Simplify right side
    315,886.12x = 75,265,658,334.33
  5. Step 5: Solve for x
    x = 75,265,658,334.33/315,886.12
  6. Step 6: Final answer
    x = 238,268.33

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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.