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Finding the Fourth Proportional to 471,242.05, 706,595.30 and 321,663.40

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Solution

The fourth proportional to 471,242.05, 706,595.30 and 321,663.40 is: 482,312.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,242.05 : 706,595.30 = 321,663.40 : x
  2. Step 2: Convert to fraction form
    471,242.05/706,595.30 = 321,663.40/x
  3. Step 3: Cross multiply
    471,242.05x = 706,595.30 × 321,663.40
  4. Step 4: Simplify right side
    471,242.05x = 227,285,848,428.05
  5. Step 5: Solve for x
    x = 227,285,848,428.05/471,242.05
  6. Step 6: Final answer
    x = 482,312.32

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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.