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Finding the Fourth Proportional to 384,711.75, 531,050.31 and 344,354.31

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Solution

The fourth proportional to 384,711.75, 531,050.31 and 344,354.31 is: 475,341.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,711.75 : 531,050.31 = 344,354.31 : x
  2. Step 2: Convert to fraction form
    384,711.75/531,050.31 = 344,354.31/x
  3. Step 3: Cross multiply
    384,711.75x = 531,050.31 × 344,354.31
  4. Step 4: Simplify right side
    384,711.75x = 182,869,463,075.34
  5. Step 5: Solve for x
    x = 182,869,463,075.34/384,711.75
  6. Step 6: Final answer
    x = 475,341.51

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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.