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Finding the Fourth Proportional to 538,457.90, 743,074.82 and 308,996.91

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Solution

The fourth proportional to 538,457.90, 743,074.82 and 308,996.91 is: 426,417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,457.90 : 743,074.82 = 308,996.91 : x
  2. Step 2: Convert to fraction form
    538,457.90/743,074.82 = 308,996.91/x
  3. Step 3: Cross multiply
    538,457.90x = 743,074.82 × 308,996.91
  4. Step 4: Simplify right side
    538,457.90x = 229,607,827,417.20
  5. Step 5: Solve for x
    x = 229,607,827,417.20/538,457.90
  6. Step 6: Final answer
    x = 426,417.42

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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.