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Finding the Fourth Proportional to 310,824.60, 465,619.60 and 239,499.78

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Solution

The fourth proportional to 310,824.60, 465,619.60 and 239,499.78 is: 358,774.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,824.60 : 465,619.60 = 239,499.78 : x
  2. Step 2: Convert to fraction form
    310,824.60/465,619.60 = 239,499.78/x
  3. Step 3: Cross multiply
    310,824.60x = 465,619.60 × 239,499.78
  4. Step 4: Simplify right side
    310,824.60x = 111,515,791,763.69
  5. Step 5: Solve for x
    x = 111,515,791,763.69/310,824.60
  6. Step 6: Final answer
    x = 358,774.02

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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.