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Finding the Fourth Proportional to 415,463.88, 622,946.52 and 190,542.48

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Solution

The fourth proportional to 415,463.88, 622,946.52 and 190,542.48 is: 285,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,463.88 : 622,946.52 = 190,542.48 : x
  2. Step 2: Convert to fraction form
    415,463.88/622,946.52 = 190,542.48/x
  3. Step 3: Cross multiply
    415,463.88x = 622,946.52 × 190,542.48
  4. Step 4: Simplify right side
    415,463.88x = 118,697,774,828.17
  5. Step 5: Solve for x
    x = 118,697,774,828.17/415,463.88
  6. Step 6: Final answer
    x = 285,699.38

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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.