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Finding the Fourth Proportional to 500,518, 690,715.20 and 274,164.40

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Solution

The fourth proportional to 500,518, 690,715.20 and 274,164.40 is: 378,347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,518 : 690,715.20 = 274,164.40 : x
  2. Step 2: Convert to fraction form
    500,518/690,715.20 = 274,164.40/x
  3. Step 3: Cross multiply
    500,518x = 690,715.20 × 274,164.40
  4. Step 4: Simplify right side
    500,518x = 189,369,518,378.88
  5. Step 5: Solve for x
    x = 189,369,518,378.88/500,518
  6. Step 6: Final answer
    x = 378,347.07

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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.