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Finding the Fourth Proportional to 557,710.67, 769,652.10 and 303,078.26

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Solution

The fourth proportional to 557,710.67, 769,652.10 and 303,078.26 is: 418,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,710.67 : 769,652.10 = 303,078.26 : x
  2. Step 2: Convert to fraction form
    557,710.67/769,652.10 = 303,078.26/x
  3. Step 3: Cross multiply
    557,710.67x = 769,652.10 × 303,078.26
  4. Step 4: Simplify right side
    557,710.67x = 233,264,815,425.09
  5. Step 5: Solve for x
    x = 233,264,815,425.09/557,710.67
  6. Step 6: Final answer
    x = 418,254.18

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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.