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Finding the Fourth Proportional to 315,375.71, 473,138.90 and 105,015.47

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Solution

The fourth proportional to 315,375.71, 473,138.90 and 105,015.47 is: 157,548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,375.71 : 473,138.90 = 105,015.47 : x
  2. Step 2: Convert to fraction form
    315,375.71/473,138.90 = 105,015.47/x
  3. Step 3: Cross multiply
    315,375.71x = 473,138.90 × 105,015.47
  4. Step 4: Simplify right side
    315,375.71x = 49,686,905,010.36
  5. Step 5: Solve for x
    x = 49,686,905,010.36/315,375.71
  6. Step 6: Final answer
    x = 157,548.29

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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.