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Finding the Fourth Proportional to 482,431.68, 723,453.12 and 145,368

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Solution

The fourth proportional to 482,431.68, 723,453.12 and 145,368 is: 217,993.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,431.68 : 723,453.12 = 145,368 : x
  2. Step 2: Convert to fraction form
    482,431.68/723,453.12 = 145,368/x
  3. Step 3: Cross multiply
    482,431.68x = 723,453.12 × 145,368
  4. Step 4: Simplify right side
    482,431.68x = 105,166,933,148.16
  5. Step 5: Solve for x
    x = 105,166,933,148.16/482,431.68
  6. Step 6: Final answer
    x = 217,993.42

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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.