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Finding the Fourth Proportional to 399,145.32, 599,022.54 and 146,665.08

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Solution

The fourth proportional to 399,145.32, 599,022.54 and 146,665.08 is: 220,109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,145.32 : 599,022.54 = 146,665.08 : x
  2. Step 2: Convert to fraction form
    399,145.32/599,022.54 = 146,665.08/x
  3. Step 3: Cross multiply
    399,145.32x = 599,022.54 × 146,665.08
  4. Step 4: Simplify right side
    399,145.32x = 87,855,688,750.90
  5. Step 5: Solve for x
    x = 87,855,688,750.90/399,145.32
  6. Step 6: Final answer
    x = 220,109.53

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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.