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Finding the Fourth Proportional to 557,430.90, 769,573.83 and 366,997.88

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Solution

The fourth proportional to 557,430.90, 769,573.83 and 366,997.88 is: 506,667.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,430.90 : 769,573.83 = 366,997.88 : x
  2. Step 2: Convert to fraction form
    557,430.90/769,573.83 = 366,997.88/x
  3. Step 3: Cross multiply
    557,430.90x = 769,573.83 × 366,997.88
  4. Step 4: Simplify right side
    557,430.90x = 282,431,960,265.61
  5. Step 5: Solve for x
    x = 282,431,960,265.61/557,430.90
  6. Step 6: Final answer
    x = 506,667.21

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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.