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Finding the Fourth Proportional to 500,492.54, 690,688.68 and 274,123.46

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Solution

The fourth proportional to 500,492.54, 690,688.68 and 274,123.46 is: 378,295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,492.54 : 690,688.68 = 274,123.46 : x
  2. Step 2: Convert to fraction form
    500,492.54/690,688.68 = 274,123.46/x
  3. Step 3: Cross multiply
    500,492.54x = 690,688.68 × 274,123.46
  4. Step 4: Simplify right side
    500,492.54x = 189,333,970,744.43
  5. Step 5: Solve for x
    x = 189,333,970,744.43/500,492.54
  6. Step 6: Final answer
    x = 378,295.29

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1.5x scale

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.