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Finding the Fourth Proportional to 270,304, 405,457.44 and 73,312

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Solution

The fourth proportional to 270,304, 405,457.44 and 73,312 is: 109,968.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,304 : 405,457.44 = 73,312 : x
  2. Step 2: Convert to fraction form
    270,304/405,457.44 = 73,312/x
  3. Step 3: Cross multiply
    270,304x = 405,457.44 × 73,312
  4. Step 4: Simplify right side
    270,304x = 29,724,895,841.28
  5. Step 5: Solve for x
    x = 29,724,895,841.28/270,304
  6. Step 6: Final answer
    x = 109,968.39

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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.