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Finding the Fourth Proportional to 442,082.30, 663,128.02 and 353,896.40

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Solution

The fourth proportional to 442,082.30, 663,128.02 and 353,896.40 is: 530,848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,082.30 : 663,128.02 = 353,896.40 : x
  2. Step 2: Convert to fraction form
    442,082.30/663,128.02 = 353,896.40/x
  3. Step 3: Cross multiply
    442,082.30x = 663,128.02 × 353,896.40
  4. Step 4: Simplify right side
    442,082.30x = 234,678,619,017.13
  5. Step 5: Solve for x
    x = 234,678,619,017.13/442,082.30
  6. Step 6: Final answer
    x = 530,848.26

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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.