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Finding the Fourth Proportional to 464,445.10, 640,940.88 and 347,952.16

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Solution

The fourth proportional to 464,445.10, 640,940.88 and 347,952.16 is: 480,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,445.10 : 640,940.88 = 347,952.16 : x
  2. Step 2: Convert to fraction form
    464,445.10/640,940.88 = 347,952.16/x
  3. Step 3: Cross multiply
    464,445.10x = 640,940.88 × 347,952.16
  4. Step 4: Simplify right side
    464,445.10x = 223,016,763,628.30
  5. Step 5: Solve for x
    x = 223,016,763,628.30/464,445.10
  6. Step 6: Final answer
    x = 480,178.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.