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Finding the Fourth Proportional to 310,086.60, 465,129.90 and 305,939.40

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Solution

The fourth proportional to 310,086.60, 465,129.90 and 305,939.40 is: 458,909.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,086.60 : 465,129.90 = 305,939.40 : x
  2. Step 2: Convert to fraction form
    310,086.60/465,129.90 = 305,939.40/x
  3. Step 3: Cross multiply
    310,086.60x = 465,129.90 × 305,939.40
  4. Step 4: Simplify right side
    310,086.60x = 142,301,562,528.06
  5. Step 5: Solve for x
    x = 142,301,562,528.06/310,086.60
  6. Step 6: Final answer
    x = 458,909.10

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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.