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Finding the Fourth Proportional to 493,679.94, 740,545.28 and 138,721.63

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Solution

The fourth proportional to 493,679.94, 740,545.28 and 138,721.63 is: 208,089.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,679.94 : 740,545.28 = 138,721.63 : x
  2. Step 2: Convert to fraction form
    493,679.94/740,545.28 = 138,721.63/x
  3. Step 3: Cross multiply
    493,679.94x = 740,545.28 × 138,721.63
  4. Step 4: Simplify right side
    493,679.94x = 102,729,648,330.41
  5. Step 5: Solve for x
    x = 102,729,648,330.41/493,679.94
  6. Step 6: Final answer
    x = 208,089.57

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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.