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Finding the Fourth Proportional to 413,983.68, 621,409.80 and 366,900

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Solution

The fourth proportional to 413,983.68, 621,409.80 and 366,900 is: 550,734.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,983.68 : 621,409.80 = 366,900 : x
  2. Step 2: Convert to fraction form
    413,983.68/621,409.80 = 366,900/x
  3. Step 3: Cross multiply
    413,983.68x = 621,409.80 × 366,900
  4. Step 4: Simplify right side
    413,983.68x = 227,995,255,620.00
  5. Step 5: Solve for x
    x = 227,995,255,620.00/413,983.68
  6. Step 6: Final answer
    x = 550,734.89

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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.