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Finding the Fourth Proportional to 493,952.44, 740,842.80 and 138,882.20

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Solution

The fourth proportional to 493,952.44, 740,842.80 and 138,882.20 is: 208,299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,952.44 : 740,842.80 = 138,882.20 : x
  2. Step 2: Convert to fraction form
    493,952.44/740,842.80 = 138,882.20/x
  3. Step 3: Cross multiply
    493,952.44x = 740,842.80 × 138,882.20
  4. Step 4: Simplify right side
    493,952.44x = 102,889,877,918.16
  5. Step 5: Solve for x
    x = 102,889,877,918.16/493,952.44
  6. Step 6: Final answer
    x = 208,299.16

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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.