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Finding the Fourth Proportional to 493,726.94, 740,618.05 and 138,713.25

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Solution

The fourth proportional to 493,726.94, 740,618.05 and 138,713.25 is: 208,077.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,726.94 : 740,618.05 = 138,713.25 : x
  2. Step 2: Convert to fraction form
    493,726.94/740,618.05 = 138,713.25/x
  3. Step 3: Cross multiply
    493,726.94x = 740,618.05 × 138,713.25
  4. Step 4: Simplify right side
    493,726.94x = 102,733,536,377.38
  5. Step 5: Solve for x
    x = 102,733,536,377.38/493,726.94
  6. Step 6: Final answer
    x = 208,077.64

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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.