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Finding the Fourth Proportional to 1,309,983.74, 1,964,975.48 and 363,354.50

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Solution

The fourth proportional to 1,309,983.74, 1,964,975.48 and 363,354.50 is: 545,031.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,983.74 : 1,964,975.48 = 363,354.50 : x
  2. Step 2: Convert to fraction form
    1,309,983.74/1,964,975.48 = 363,354.50/x
  3. Step 3: Cross multiply
    1,309,983.74x = 1,964,975.48 × 363,354.50
  4. Step 4: Simplify right side
    1,309,983.74x = 713,982,674,131.17
  5. Step 5: Solve for x
    x = 713,982,674,131.17/1,309,983.74
  6. Step 6: Final answer
    x = 545,031.71

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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.