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Finding the Fourth Proportional to 390,500.33, 585,081.81 and 213,131.79

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Solution

The fourth proportional to 390,500.33, 585,081.81 and 213,131.79 is: 319,332.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,500.33 : 585,081.81 = 213,131.79 : x
  2. Step 2: Convert to fraction form
    390,500.33/585,081.81 = 213,131.79/x
  3. Step 3: Cross multiply
    390,500.33x = 585,081.81 × 213,131.79
  4. Step 4: Simplify right side
    390,500.33x = 124,699,533,461.74
  5. Step 5: Solve for x
    x = 124,699,533,461.74/390,500.33
  6. Step 6: Final answer
    x = 319,332.73

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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.