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Finding the Fourth Proportional to 500,178.40, 689,799.12 and 364,528.52

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Solution

The fourth proportional to 500,178.40, 689,799.12 and 364,528.52 is: 502,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,178.40 : 689,799.12 = 364,528.52 : x
  2. Step 2: Convert to fraction form
    500,178.40/689,799.12 = 364,528.52/x
  3. Step 3: Cross multiply
    500,178.40x = 689,799.12 × 364,528.52
  4. Step 4: Simplify right side
    500,178.40x = 251,451,452,310.90
  5. Step 5: Solve for x
    x = 251,451,452,310.90/500,178.40
  6. Step 6: Final answer
    x = 502,723.53

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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.