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Finding the Fourth Proportional to 538,173, 742,678.92 and 311,949.72

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Solution

The fourth proportional to 538,173, 742,678.92 and 311,949.72 is: 430,490.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,173 : 742,678.92 = 311,949.72 : x
  2. Step 2: Convert to fraction form
    538,173/742,678.92 = 311,949.72/x
  3. Step 3: Cross multiply
    538,173x = 742,678.92 × 311,949.72
  4. Step 4: Simplify right side
    538,173x = 231,678,481,143.90
  5. Step 5: Solve for x
    x = 231,678,481,143.90/538,173
  6. Step 6: Final answer
    x = 430,490.72

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1.5x scale

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.