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Finding the Fourth Proportional to 520,238.91, 780,420.89 and 183,209.90

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Solution

The fourth proportional to 520,238.91, 780,420.89 and 183,209.90 is: 274,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,238.91 : 780,420.89 = 183,209.90 : x
  2. Step 2: Convert to fraction form
    520,238.91/780,420.89 = 183,209.90/x
  3. Step 3: Cross multiply
    520,238.91x = 780,420.89 × 183,209.90
  4. Step 4: Simplify right side
    520,238.91x = 142,980,833,214.81
  5. Step 5: Solve for x
    x = 142,980,833,214.81/520,238.91
  6. Step 6: Final answer
    x = 274,836.87

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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.