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Finding the Fourth Proportional to 423,980.56, 634,586.28 and 311,631.04

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Solution

The fourth proportional to 423,980.56, 634,586.28 and 311,631.04 is: 466,428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,980.56 : 634,586.28 = 311,631.04 : x
  2. Step 2: Convert to fraction form
    423,980.56/634,586.28 = 311,631.04/x
  3. Step 3: Cross multiply
    423,980.56x = 634,586.28 × 311,631.04
  4. Step 4: Simplify right side
    423,980.56x = 197,756,782,406.13
  5. Step 5: Solve for x
    x = 197,756,782,406.13/423,980.56
  6. Step 6: Final answer
    x = 466,428.89

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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.