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Finding the Fourth Proportional to 508,722.60, 763,083.90 and 309,433.80

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Solution

The fourth proportional to 508,722.60, 763,083.90 and 309,433.80 is: 464,150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,722.60 : 763,083.90 = 309,433.80 : x
  2. Step 2: Convert to fraction form
    508,722.60/763,083.90 = 309,433.80/x
  3. Step 3: Cross multiply
    508,722.60x = 763,083.90 × 309,433.80
  4. Step 4: Simplify right side
    508,722.60x = 236,123,950,895.82
  5. Step 5: Solve for x
    x = 236,123,950,895.82/508,722.60
  6. Step 6: Final answer
    x = 464,150.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.