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Finding the Fourth Proportional to 314,871.70, 472,000.35 and 281,694.10

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Solution

The fourth proportional to 314,871.70, 472,000.35 and 281,694.10 is: 422,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,871.70 : 472,000.35 = 281,694.10 : x
  2. Step 2: Convert to fraction form
    314,871.70/472,000.35 = 281,694.10/x
  3. Step 3: Cross multiply
    314,871.70x = 472,000.35 × 281,694.10
  4. Step 4: Simplify right side
    314,871.70x = 132,959,713,792.94
  5. Step 5: Solve for x
    x = 132,959,713,792.94/314,871.70
  6. Step 6: Final answer
    x = 422,266.32

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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.