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Finding the Fourth Proportional to 496,270.64, 684,633.84 and 305,171.12

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Solution

The fourth proportional to 496,270.64, 684,633.84 and 305,171.12 is: 421,001.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,270.64 : 684,633.84 = 305,171.12 : x
  2. Step 2: Convert to fraction form
    496,270.64/684,633.84 = 305,171.12/x
  3. Step 3: Cross multiply
    496,270.64x = 684,633.84 × 305,171.12
  4. Step 4: Simplify right side
    496,270.64x = 208,930,472,319.53
  5. Step 5: Solve for x
    x = 208,930,472,319.53/496,270.64
  6. Step 6: Final answer
    x = 421,001.08

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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.