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Finding the Fourth Proportional to 508,184.64, 762,359.85 and 208,584.81

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Solution

The fourth proportional to 508,184.64, 762,359.85 and 208,584.81 is: 312,911.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,184.64 : 762,359.85 = 208,584.81 : x
  2. Step 2: Convert to fraction form
    508,184.64/762,359.85 = 208,584.81/x
  3. Step 3: Cross multiply
    508,184.64x = 762,359.85 × 208,584.81
  4. Step 4: Simplify right side
    508,184.64x = 159,016,684,463.88
  5. Step 5: Solve for x
    x = 159,016,684,463.88/508,184.64
  6. Step 6: Final answer
    x = 312,911.24

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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.