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Finding the Fourth Proportional to 403,004.59, 604,378.08 and 133,082.42

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Solution

The fourth proportional to 403,004.59, 604,378.08 and 133,082.42 is: 199,581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,004.59 : 604,378.08 = 133,082.42 : x
  2. Step 2: Convert to fraction form
    403,004.59/604,378.08 = 133,082.42/x
  3. Step 3: Cross multiply
    403,004.59x = 604,378.08 × 133,082.42
  4. Step 4: Simplify right side
    403,004.59x = 80,432,094,459.46
  5. Step 5: Solve for x
    x = 80,432,094,459.46/403,004.59
  6. Step 6: Final answer
    x = 199,581.09

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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.