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Finding the Fourth Proportional to 500,157, 690,217.20 and 273,803.04

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Solution

The fourth proportional to 500,157, 690,217.20 and 273,803.04 is: 377,848.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,157 : 690,217.20 = 273,803.04 : x
  2. Step 2: Convert to fraction form
    500,157/690,217.20 = 273,803.04/x
  3. Step 3: Cross multiply
    500,157x = 690,217.20 × 273,803.04
  4. Step 4: Simplify right side
    500,157x = 188,983,567,620.29
  5. Step 5: Solve for x
    x = 188,983,567,620.29/500,157
  6. Step 6: Final answer
    x = 377,848.49

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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.