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Finding the Fourth Proportional to 413,795.80, 621,000.90 and 164,656.60

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Solution

The fourth proportional to 413,795.80, 621,000.90 and 164,656.60 is: 247,107.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,795.80 : 621,000.90 = 164,656.60 : x
  2. Step 2: Convert to fraction form
    413,795.80/621,000.90 = 164,656.60/x
  3. Step 3: Cross multiply
    413,795.80x = 621,000.90 × 164,656.60
  4. Step 4: Simplify right side
    413,795.80x = 102,251,896,790.94
  5. Step 5: Solve for x
    x = 102,251,896,790.94/413,795.80
  6. Step 6: Final answer
    x = 247,107.14

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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.