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Finding the Fourth Proportional to 450,703.42, 622,392.18 and 289,837.82

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Solution

The fourth proportional to 450,703.42, 622,392.18 and 289,837.82 is: 400,247.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,703.42 : 622,392.18 = 289,837.82 : x
  2. Step 2: Convert to fraction form
    450,703.42/622,392.18 = 289,837.82/x
  3. Step 3: Cross multiply
    450,703.42x = 622,392.18 × 289,837.82
  4. Step 4: Simplify right side
    450,703.42x = 180,392,792,636.25
  5. Step 5: Solve for x
    x = 180,392,792,636.25/450,703.42
  6. Step 6: Final answer
    x = 400,247.22

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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.