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Finding the Fourth Proportional to 588,772, 812,505.40 and 320,500

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Solution

The fourth proportional to 588,772, 812,505.40 and 320,500 is: 442,290.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,772 : 812,505.40 = 320,500 : x
  2. Step 2: Convert to fraction form
    588,772/812,505.40 = 320,500/x
  3. Step 3: Cross multiply
    588,772x = 812,505.40 × 320,500
  4. Step 4: Simplify right side
    588,772x = 260,407,980,700
  5. Step 5: Solve for x
    x = 260,407,980,700/588,772
  6. Step 6: Final answer
    x = 442,290.02

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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.