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Finding the Fourth Proportional to 520,283.52, 718,082.64 and 302,559.66

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Solution

The fourth proportional to 520,283.52, 718,082.64 and 302,559.66 is: 417,585.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,283.52 : 718,082.64 = 302,559.66 : x
  2. Step 2: Convert to fraction form
    520,283.52/718,082.64 = 302,559.66/x
  3. Step 3: Cross multiply
    520,283.52x = 718,082.64 × 302,559.66
  4. Step 4: Simplify right side
    520,283.52x = 217,262,839,410.30
  5. Step 5: Solve for x
    x = 217,262,839,410.30/520,283.52
  6. Step 6: Final answer
    x = 417,585.47

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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.