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Finding the Fourth Proportional to 309,457.82, 464,221.44 and 277,672.47

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Solution

The fourth proportional to 309,457.82, 464,221.44 and 277,672.47 is: 416,539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,457.82 : 464,221.44 = 277,672.47 : x
  2. Step 2: Convert to fraction form
    309,457.82/464,221.44 = 277,672.47/x
  3. Step 3: Cross multiply
    309,457.82x = 464,221.44 × 277,672.47
  4. Step 4: Simplify right side
    309,457.82x = 128,901,513,871.76
  5. Step 5: Solve for x
    x = 128,901,513,871.76/309,457.82
  6. Step 6: Final answer
    x = 416,539.86

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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.