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Finding the Fourth Proportional to 493,932.16, 740,812.14 and 138,861.78

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Solution

The fourth proportional to 493,932.16, 740,812.14 and 138,861.78 is: 208,268.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,932.16 : 740,812.14 = 138,861.78 : x
  2. Step 2: Convert to fraction form
    493,932.16/740,812.14 = 138,861.78/x
  3. Step 3: Cross multiply
    493,932.16x = 740,812.14 × 138,861.78
  4. Step 4: Simplify right side
    493,932.16x = 102,870,492,406.01
  5. Step 5: Solve for x
    x = 102,870,492,406.01/493,932.16
  6. Step 6: Final answer
    x = 208,268.46

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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.