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Finding the Fourth Proportional to 655,889.31, 905,129.13 and 380,300.58

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Solution

The fourth proportional to 655,889.31, 905,129.13 and 380,300.58 is: 524,815.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,889.31 : 905,129.13 = 380,300.58 : x
  2. Step 2: Convert to fraction form
    655,889.31/905,129.13 = 380,300.58/x
  3. Step 3: Cross multiply
    655,889.31x = 905,129.13 × 380,300.58
  4. Step 4: Simplify right side
    655,889.31x = 344,221,133,113.90
  5. Step 5: Solve for x
    x = 344,221,133,113.90/655,889.31
  6. Step 6: Final answer
    x = 524,815.89

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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.