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Finding the Fourth Proportional to 509,465.70, 703,101.87 and 305,524.31

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Solution

The fourth proportional to 509,465.70, 703,101.87 and 305,524.31 is: 421,647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,465.70 : 703,101.87 = 305,524.31 : x
  2. Step 2: Convert to fraction form
    509,465.70/703,101.87 = 305,524.31/x
  3. Step 3: Cross multiply
    509,465.70x = 703,101.87 × 305,524.31
  4. Step 4: Simplify right side
    509,465.70x = 214,814,710,175.95
  5. Step 5: Solve for x
    x = 214,814,710,175.95/509,465.70
  6. Step 6: Final answer
    x = 421,647.05

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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.