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Finding the Fourth Proportional to 519,219.81, 716,589.05 and 301,381.92

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Solution

The fourth proportional to 519,219.81, 716,589.05 and 301,381.92 is: 415,945.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,219.81 : 716,589.05 = 301,381.92 : x
  2. Step 2: Convert to fraction form
    519,219.81/716,589.05 = 301,381.92/x
  3. Step 3: Cross multiply
    519,219.81x = 716,589.05 × 301,381.92
  4. Step 4: Simplify right side
    519,219.81x = 215,966,982,233.07
  5. Step 5: Solve for x
    x = 215,966,982,233.07/519,219.81
  6. Step 6: Final answer
    x = 415,945.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.