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Finding the Fourth Proportional to 377,709.50, 521,276.76 and 282,050.12

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Solution

The fourth proportional to 377,709.50, 521,276.76 and 282,050.12 is: 389,257.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,709.50 : 521,276.76 = 282,050.12 : x
  2. Step 2: Convert to fraction form
    377,709.50/521,276.76 = 282,050.12/x
  3. Step 3: Cross multiply
    377,709.50x = 521,276.76 × 282,050.12
  4. Step 4: Simplify right side
    377,709.50x = 147,026,172,711.21
  5. Step 5: Solve for x
    x = 147,026,172,711.21/377,709.50
  6. Step 6: Final answer
    x = 389,257.28

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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.