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Finding the Fourth Proportional to 426,149.08, 638,614.50 and 312,941.32

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Solution

The fourth proportional to 426,149.08, 638,614.50 and 312,941.32 is: 468,964.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,149.08 : 638,614.50 = 312,941.32 : x
  2. Step 2: Convert to fraction form
    426,149.08/638,614.50 = 312,941.32/x
  3. Step 3: Cross multiply
    426,149.08x = 638,614.50 × 312,941.32
  4. Step 4: Simplify right side
    426,149.08x = 199,848,864,601.14
  5. Step 5: Solve for x
    x = 199,848,864,601.14/426,149.08
  6. Step 6: Final answer
    x = 468,964.67

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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.