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Finding the Fourth Proportional to 315,274.50, 435,077.25 and 172,034.10

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Solution

The fourth proportional to 315,274.50, 435,077.25 and 172,034.10 is: 237,406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,274.50 : 435,077.25 = 172,034.10 : x
  2. Step 2: Convert to fraction form
    315,274.50/435,077.25 = 172,034.10/x
  3. Step 3: Cross multiply
    315,274.50x = 435,077.25 × 172,034.10
  4. Step 4: Simplify right side
    315,274.50x = 74,848,123,134.23
  5. Step 5: Solve for x
    x = 74,848,123,134.23/315,274.50
  6. Step 6: Final answer
    x = 237,406.21

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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.