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Finding the Fourth Proportional to 500,592.36, 690,842.34 and 309,705

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Solution

The fourth proportional to 500,592.36, 690,842.34 and 309,705 is: 427,408.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,592.36 : 690,842.34 = 309,705 : x
  2. Step 2: Convert to fraction form
    500,592.36/690,842.34 = 309,705/x
  3. Step 3: Cross multiply
    500,592.36x = 690,842.34 × 309,705
  4. Step 4: Simplify right side
    500,592.36x = 213,957,326,909.70
  5. Step 5: Solve for x
    x = 213,957,326,909.70/500,592.36
  6. Step 6: Final answer
    x = 427,408.29

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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.