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Finding the Fourth Proportional to 314,954.30, 472,431.45 and 285,429.80

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Solution

The fourth proportional to 314,954.30, 472,431.45 and 285,429.80 is: 428,144.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,954.30 : 472,431.45 = 285,429.80 : x
  2. Step 2: Convert to fraction form
    314,954.30/472,431.45 = 285,429.80/x
  3. Step 3: Cross multiply
    314,954.30x = 472,431.45 × 285,429.80
  4. Step 4: Simplify right side
    314,954.30x = 134,846,014,287.21
  5. Step 5: Solve for x
    x = 134,846,014,287.21/314,954.30
  6. Step 6: Final answer
    x = 428,144.70

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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.