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Finding the Fourth Proportional to 500,523.42, 690,764.85 and 282,772.09

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Solution

The fourth proportional to 500,523.42, 690,764.85 and 282,772.09 is: 390,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,523.42 : 690,764.85 = 282,772.09 : x
  2. Step 2: Convert to fraction form
    500,523.42/690,764.85 = 282,772.09/x
  3. Step 3: Cross multiply
    500,523.42x = 690,764.85 × 282,772.09
  4. Step 4: Simplify right side
    500,523.42x = 195,329,020,056.92
  5. Step 5: Solve for x
    x = 195,329,020,056.92/500,523.42
  6. Step 6: Final answer
    x = 390,249.51

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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.