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Finding the Fourth Proportional to 520,826.22, 780,346.44 and 349,727.22

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Solution

The fourth proportional to 520,826.22, 780,346.44 and 349,727.22 is: 523,991.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,826.22 : 780,346.44 = 349,727.22 : x
  2. Step 2: Convert to fraction form
    520,826.22/780,346.44 = 349,727.22/x
  3. Step 3: Cross multiply
    520,826.22x = 780,346.44 × 349,727.22
  4. Step 4: Simplify right side
    520,826.22x = 272,908,391,098.10
  5. Step 5: Solve for x
    x = 272,908,391,098.10/520,826.22
  6. Step 6: Final answer
    x = 523,991.27

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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.