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Finding the Fourth Proportional to 450,324.34, 621,345.83 and 269,000.78

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Solution

The fourth proportional to 450,324.34, 621,345.83 and 269,000.78 is: 371,160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,324.34 : 621,345.83 = 269,000.78 : x
  2. Step 2: Convert to fraction form
    450,324.34/621,345.83 = 269,000.78/x
  3. Step 3: Cross multiply
    450,324.34x = 621,345.83 × 269,000.78
  4. Step 4: Simplify right side
    450,324.34x = 167,142,508,468.01
  5. Step 5: Solve for x
    x = 167,142,508,468.01/450,324.34
  6. Step 6: Final answer
    x = 371,160.28

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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.