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Finding the Fourth Proportional to 520,428, 718,191.36 and 281,964

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Solution

The fourth proportional to 520,428, 718,191.36 and 281,964 is: 389,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,428 : 718,191.36 = 281,964 : x
  2. Step 2: Convert to fraction form
    520,428/718,191.36 = 281,964/x
  3. Step 3: Cross multiply
    520,428x = 718,191.36 × 281,964
  4. Step 4: Simplify right side
    520,428x = 202,504,108,631.04
  5. Step 5: Solve for x
    x = 202,504,108,631.04/520,428
  6. Step 6: Final answer
    x = 389,110.71

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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.