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Finding the Fourth Proportional to 675,861.24, 932,651.46 and 385,430.16

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Solution

The fourth proportional to 675,861.24, 932,651.46 and 385,430.16 is: 531,872.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,861.24 : 932,651.46 = 385,430.16 : x
  2. Step 2: Convert to fraction form
    675,861.24/932,651.46 = 385,430.16/x
  3. Step 3: Cross multiply
    675,861.24x = 932,651.46 × 385,430.16
  4. Step 4: Simplify right side
    675,861.24x = 359,472,001,452.03
  5. Step 5: Solve for x
    x = 359,472,001,452.03/675,861.24
  6. Step 6: Final answer
    x = 531,872.49

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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.