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Finding the Fourth Proportional to 390,850.50, 586,126.29 and 213,262.59

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Solution

The fourth proportional to 390,850.50, 586,126.29 and 213,262.59 is: 319,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,850.50 : 586,126.29 = 213,262.59 : x
  2. Step 2: Convert to fraction form
    390,850.50/586,126.29 = 213,262.59/x
  3. Step 3: Cross multiply
    390,850.50x = 586,126.29 × 213,262.59
  4. Step 4: Simplify right side
    390,850.50x = 124,998,810,672.49
  5. Step 5: Solve for x
    x = 124,998,810,672.49/390,850.50
  6. Step 6: Final answer
    x = 319,812.33

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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.