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Finding the Fourth Proportional to 655,891.32, 905,131.90 and 380,302.58

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Solution

The fourth proportional to 655,891.32, 905,131.90 and 380,302.58 is: 524,818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,891.32 : 905,131.90 = 380,302.58 : x
  2. Step 2: Convert to fraction form
    655,891.32/905,131.90 = 380,302.58/x
  3. Step 3: Cross multiply
    655,891.32x = 905,131.90 × 380,302.58
  4. Step 4: Simplify right side
    655,891.32x = 344,223,996,810.30
  5. Step 5: Solve for x
    x = 344,223,996,810.30/655,891.32
  6. Step 6: Final answer
    x = 524,818.65

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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.