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Finding the Fourth Proportional to 1,309,983.40, 1,964,974.92 and 363,354.12

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Solution

The fourth proportional to 1,309,983.40, 1,964,974.92 and 363,354.12 is: 545,031.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,983.40 : 1,964,974.92 = 363,354.12 : x
  2. Step 2: Convert to fraction form
    1,309,983.40/1,964,974.92 = 363,354.12/x
  3. Step 3: Cross multiply
    1,309,983.40x = 1,964,974.92 × 363,354.12
  4. Step 4: Simplify right side
    1,309,983.40x = 713,981,732,878.67
  5. Step 5: Solve for x
    x = 713,981,732,878.67/1,309,983.40
  6. Step 6: Final answer
    x = 545,031.13

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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.