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Finding the Fourth Proportional to 509,082.39, 702,492.71 and 294,236.37

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Solution

The fourth proportional to 509,082.39, 702,492.71 and 294,236.37 is: 406,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,082.39 : 702,492.71 = 294,236.37 : x
  2. Step 2: Convert to fraction form
    509,082.39/702,492.71 = 294,236.37/x
  3. Step 3: Cross multiply
    509,082.39x = 702,492.71 × 294,236.37
  4. Step 4: Simplify right side
    509,082.39x = 206,698,904,941.86
  5. Step 5: Solve for x
    x = 206,698,904,941.86/509,082.39
  6. Step 6: Final answer
    x = 406,022.50

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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.