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Finding the Fourth Proportional to 314,021.60, 471,032.40 and 279,615.20

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Solution

The fourth proportional to 314,021.60, 471,032.40 and 279,615.20 is: 419,422.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,021.60 : 471,032.40 = 279,615.20 : x
  2. Step 2: Convert to fraction form
    314,021.60/471,032.40 = 279,615.20/x
  3. Step 3: Cross multiply
    314,021.60x = 471,032.40 × 279,615.20
  4. Step 4: Simplify right side
    314,021.60x = 131,707,818,732.48
  5. Step 5: Solve for x
    x = 131,707,818,732.48/314,021.60
  6. Step 6: Final answer
    x = 419,422.80

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1.5x scale

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.