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Finding the Fourth Proportional to 420,663.62, 631,128.20 and 319,944.14

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Solution

The fourth proportional to 420,663.62, 631,128.20 and 319,944.14 is: 480,017.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,663.62 : 631,128.20 = 319,944.14 : x
  2. Step 2: Convert to fraction form
    420,663.62/631,128.20 = 319,944.14/x
  3. Step 3: Cross multiply
    420,663.62x = 631,128.20 × 319,944.14
  4. Step 4: Simplify right side
    420,663.62x = 201,925,764,423.39
  5. Step 5: Solve for x
    x = 201,925,764,423.39/420,663.62
  6. Step 6: Final answer
    x = 480,017.19

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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.