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Finding the Fourth Proportional to 491,513.14, 678,151.06 and 317,009.50

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Solution

The fourth proportional to 491,513.14, 678,151.06 and 317,009.50 is: 437,384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,513.14 : 678,151.06 = 317,009.50 : x
  2. Step 2: Convert to fraction form
    491,513.14/678,151.06 = 317,009.50/x
  3. Step 3: Cross multiply
    491,513.14x = 678,151.06 × 317,009.50
  4. Step 4: Simplify right side
    491,513.14x = 214,980,327,662.55
  5. Step 5: Solve for x
    x = 214,980,327,662.55/491,513.14
  6. Step 6: Final answer
    x = 437,384.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.