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Finding the Fourth Proportional to 493,406.91, 739,347.50 and 385,079.43

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Solution

The fourth proportional to 493,406.91, 739,347.50 and 385,079.43 is: 577,023.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,406.91 : 739,347.50 = 385,079.43 : x
  2. Step 2: Convert to fraction form
    493,406.91/739,347.50 = 385,079.43/x
  3. Step 3: Cross multiply
    493,406.91x = 739,347.50 × 385,079.43
  4. Step 4: Simplify right side
    493,406.91x = 284,707,513,871.93
  5. Step 5: Solve for x
    x = 284,707,513,871.93/493,406.91
  6. Step 6: Final answer
    x = 577,023.77

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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.