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Finding the Fourth Proportional to 407,329.63, 610,814.02 and 217,744.07

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Solution

The fourth proportional to 407,329.63, 610,814.02 and 217,744.07 is: 326,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,329.63 : 610,814.02 = 217,744.07 : x
  2. Step 2: Convert to fraction form
    407,329.63/610,814.02 = 217,744.07/x
  3. Step 3: Cross multiply
    407,329.63x = 610,814.02 × 217,744.07
  4. Step 4: Simplify right side
    407,329.63x = 133,001,130,727.86
  5. Step 5: Solve for x
    x = 133,001,130,727.86/407,329.63
  6. Step 6: Final answer
    x = 326,519.66

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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.