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Finding the Fourth Proportional to 457,165.10, 638,456.50 and 457,165.10

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Solution

The fourth proportional to 457,165.10, 638,456.50 and 457,165.10 is: 638,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,165.10 : 638,456.50 = 457,165.10 : x
  2. Step 2: Convert to fraction form
    457,165.10/638,456.50 = 457,165.10/x
  3. Step 3: Cross multiply
    457,165.10x = 638,456.50 × 457,165.10
  4. Step 4: Simplify right side
    457,165.10x = 291,880,029,668.15
  5. Step 5: Solve for x
    x = 291,880,029,668.15/457,165.10
  6. Step 6: Final answer
    x = 638,456.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.