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Finding the Fourth Proportional to 456,326.70, 685,656.45 and 405,005.10

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Solution

The fourth proportional to 456,326.70, 685,656.45 and 405,005.10 is: 608,542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,326.70 : 685,656.45 = 405,005.10 : x
  2. Step 2: Convert to fraction form
    456,326.70/685,656.45 = 405,005.10/x
  3. Step 3: Cross multiply
    456,326.70x = 685,656.45 × 405,005.10
  4. Step 4: Simplify right side
    456,326.70x = 277,694,359,097.90
  5. Step 5: Solve for x
    x = 277,694,359,097.90/456,326.70
  6. Step 6: Final answer
    x = 608,542.87

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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.