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Finding the Fourth Proportional to 314,660.40, 471,990.60 and 301,009.20

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Solution

The fourth proportional to 314,660.40, 471,990.60 and 301,009.20 is: 451,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,660.40 : 471,990.60 = 301,009.20 : x
  2. Step 2: Convert to fraction form
    314,660.40/471,990.60 = 301,009.20/x
  3. Step 3: Cross multiply
    314,660.40x = 471,990.60 × 301,009.20
  4. Step 4: Simplify right side
    314,660.40x = 142,073,512,913.52
  5. Step 5: Solve for x
    x = 142,073,512,913.52/314,660.40
  6. Step 6: Final answer
    x = 451,513.80

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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.