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Finding the Fourth Proportional to 407,242.68, 610,240.54 and 170,456.44

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Solution

The fourth proportional to 407,242.68, 610,240.54 and 170,456.44 is: 255,423.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,242.68 : 610,240.54 = 170,456.44 : x
  2. Step 2: Convert to fraction form
    407,242.68/610,240.54 = 170,456.44/x
  3. Step 3: Cross multiply
    407,242.68x = 610,240.54 × 170,456.44
  4. Step 4: Simplify right side
    407,242.68x = 104,019,429,992.08
  5. Step 5: Solve for x
    x = 104,019,429,992.08/407,242.68
  6. Step 6: Final answer
    x = 255,423.69

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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.