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Finding the Fourth Proportional to 286,923, 430,453.62 and 89,931

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Solution

The fourth proportional to 286,923, 430,453.62 and 89,931 is: 134,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,923 : 430,453.62 = 89,931 : x
  2. Step 2: Convert to fraction form
    286,923/430,453.62 = 89,931/x
  3. Step 3: Cross multiply
    286,923x = 430,453.62 × 89,931
  4. Step 4: Simplify right side
    286,923x = 38,711,124,500.22
  5. Step 5: Solve for x
    x = 38,711,124,500.22/286,923
  6. Step 6: Final answer
    x = 134,918.16

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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.