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Finding the Fourth Proportional to 498,710.68, 749,173.22 and 309,311.03

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Solution

The fourth proportional to 498,710.68, 749,173.22 and 309,311.03 is: 464,653.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,710.68 : 749,173.22 = 309,311.03 : x
  2. Step 2: Convert to fraction form
    498,710.68/749,173.22 = 309,311.03/x
  3. Step 3: Cross multiply
    498,710.68x = 749,173.22 × 309,311.03
  4. Step 4: Simplify right side
    498,710.68x = 231,727,538,780.06
  5. Step 5: Solve for x
    x = 231,727,538,780.06/498,710.68
  6. Step 6: Final answer
    x = 464,653.26

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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.