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Finding the Fourth Proportional to 315,673.28, 473,334.40 and 105,196.48

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Solution

The fourth proportional to 315,673.28, 473,334.40 and 105,196.48 is: 157,736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,673.28 : 473,334.40 = 105,196.48 : x
  2. Step 2: Convert to fraction form
    315,673.28/473,334.40 = 105,196.48/x
  3. Step 3: Cross multiply
    315,673.28x = 473,334.40 × 105,196.48
  4. Step 4: Simplify right side
    315,673.28x = 49,793,112,742.91
  5. Step 5: Solve for x
    x = 49,793,112,742.91/315,673.28
  6. Step 6: Final answer
    x = 157,736.23

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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.