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Finding the Fourth Proportional to 423,649.08, 584,812.44 and 302,839.20

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Solution

The fourth proportional to 423,649.08, 584,812.44 and 302,839.20 is: 418,044.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,649.08 : 584,812.44 = 302,839.20 : x
  2. Step 2: Convert to fraction form
    423,649.08/584,812.44 = 302,839.20/x
  3. Step 3: Cross multiply
    423,649.08x = 584,812.44 × 302,839.20
  4. Step 4: Simplify right side
    423,649.08x = 177,104,131,479.65
  5. Step 5: Solve for x
    x = 177,104,131,479.65/423,649.08
  6. Step 6: Final answer
    x = 418,044.41

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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.