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Finding the Fourth Proportional to 475,942, 713,942.16 and 143,518

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Solution

The fourth proportional to 475,942, 713,942.16 and 143,518 is: 215,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,942 : 713,942.16 = 143,518 : x
  2. Step 2: Convert to fraction form
    475,942/713,942.16 = 143,518/x
  3. Step 3: Cross multiply
    475,942x = 713,942.16 × 143,518
  4. Step 4: Simplify right side
    475,942x = 102,463,550,918.88
  5. Step 5: Solve for x
    x = 102,463,550,918.88/475,942
  6. Step 6: Final answer
    x = 215,285.79

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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.