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Finding the Fourth Proportional to 427,203.90, 640,863.45 and 146,807.10

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Solution

The fourth proportional to 427,203.90, 640,863.45 and 146,807.10 is: 220,230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,203.90 : 640,863.45 = 146,807.10 : x
  2. Step 2: Convert to fraction form
    427,203.90/640,863.45 = 146,807.10/x
  3. Step 3: Cross multiply
    427,203.90x = 640,863.45 × 146,807.10
  4. Step 4: Simplify right side
    427,203.90x = 94,083,304,590.50
  5. Step 5: Solve for x
    x = 94,083,304,590.50/427,203.90
  6. Step 6: Final answer
    x = 220,230.44

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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.