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Finding the Fourth Proportional to 654,981, 982,471.32 and 181,666.41

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Solution

The fourth proportional to 654,981, 982,471.32 and 181,666.41 is: 272,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,981 : 982,471.32 = 181,666.41 : x
  2. Step 2: Convert to fraction form
    654,981/982,471.32 = 181,666.41/x
  3. Step 3: Cross multiply
    654,981x = 982,471.32 × 181,666.41
  4. Step 4: Simplify right side
    654,981x = 178,482,037,632.36
  5. Step 5: Solve for x
    x = 178,482,037,632.36/654,981
  6. Step 6: Final answer
    x = 272,499.57

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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.