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Finding the Fourth Proportional to 310,082.92, 428,501.82 and 264,136.12

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Solution

The fourth proportional to 310,082.92, 428,501.82 and 264,136.12 is: 365,008.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,082.92 : 428,501.82 = 264,136.12 : x
  2. Step 2: Convert to fraction form
    310,082.92/428,501.82 = 264,136.12/x
  3. Step 3: Cross multiply
    310,082.92x = 428,501.82 × 264,136.12
  4. Step 4: Simplify right side
    310,082.92x = 113,182,808,147.74
  5. Step 5: Solve for x
    x = 113,182,808,147.74/310,082.92
  6. Step 6: Final answer
    x = 365,008.20

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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.