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Finding the Fourth Proportional to 399,665.80, 599,412.30 and 175,025.80

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Solution

The fourth proportional to 399,665.80, 599,412.30 and 175,025.80 is: 262,500.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,665.80 : 599,412.30 = 175,025.80 : x
  2. Step 2: Convert to fraction form
    399,665.80/599,412.30 = 175,025.80/x
  3. Step 3: Cross multiply
    399,665.80x = 599,412.30 × 175,025.80
  4. Step 4: Simplify right side
    399,665.80x = 104,912,617,337.34
  5. Step 5: Solve for x
    x = 104,912,617,337.34/399,665.80
  6. Step 6: Final answer
    x = 262,500.86

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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.