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Finding the Fourth Proportional to 493,874.56, 740,811.63 and 138,888.55

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Solution

The fourth proportional to 493,874.56, 740,811.63 and 138,888.55 is: 208,332.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,874.56 : 740,811.63 = 138,888.55 : x
  2. Step 2: Convert to fraction form
    493,874.56/740,811.63 = 138,888.55/x
  3. Step 3: Cross multiply
    493,874.56x = 740,811.63 × 138,888.55
  4. Step 4: Simplify right side
    493,874.56x = 102,890,253,113.84
  5. Step 5: Solve for x
    x = 102,890,253,113.84/493,874.56
  6. Step 6: Final answer
    x = 208,332.77

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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.