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Finding the Fourth Proportional to 509,817, 703,260.50 and 305,813.64

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Solution

The fourth proportional to 509,817, 703,260.50 and 305,813.64 is: 421,850.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,817 : 703,260.50 = 305,813.64 : x
  2. Step 2: Convert to fraction form
    509,817/703,260.50 = 305,813.64/x
  3. Step 3: Cross multiply
    509,817x = 703,260.50 × 305,813.64
  4. Step 4: Simplify right side
    509,817x = 215,066,653,373.22
  5. Step 5: Solve for x
    x = 215,066,653,373.22/509,817
  6. Step 6: Final answer
    x = 421,850.69

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1.5x scale

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.