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Finding the Fourth Proportional to 315,412.44, 435,275.28 and 172,185

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Solution

The fourth proportional to 315,412.44, 435,275.28 and 172,185 is: 237,618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,412.44 : 435,275.28 = 172,185 : x
  2. Step 2: Convert to fraction form
    315,412.44/435,275.28 = 172,185/x
  3. Step 3: Cross multiply
    315,412.44x = 435,275.28 × 172,185
  4. Step 4: Simplify right side
    315,412.44x = 74,947,874,086.80
  5. Step 5: Solve for x
    x = 74,947,874,086.80/315,412.44
  6. Step 6: Final answer
    x = 237,618.64

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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.