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Finding the Fourth Proportional to 557,563.51, 769,435.62 and 302,912.47

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Solution

The fourth proportional to 557,563.51, 769,435.62 and 302,912.47 is: 418,018.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,563.51 : 769,435.62 = 302,912.47 : x
  2. Step 2: Convert to fraction form
    557,563.51/769,435.62 = 302,912.47/x
  3. Step 3: Cross multiply
    557,563.51x = 769,435.62 × 302,912.47
  4. Step 4: Simplify right side
    557,563.51x = 233,071,644,160.18
  5. Step 5: Solve for x
    x = 233,071,644,160.18/557,563.51
  6. Step 6: Final answer
    x = 418,018.11

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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.