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Finding the Fourth Proportional to 557,689.40, 769,608.80 and 315,971.44

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Solution

The fourth proportional to 557,689.40, 769,608.80 and 315,971.44 is: 436,039.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,689.40 : 769,608.80 = 315,971.44 : x
  2. Step 2: Convert to fraction form
    557,689.40/769,608.80 = 315,971.44/x
  3. Step 3: Cross multiply
    557,689.40x = 769,608.80 × 315,971.44
  4. Step 4: Simplify right side
    557,689.40x = 243,174,400,772.67
  5. Step 5: Solve for x
    x = 243,174,400,772.67/557,689.40
  6. Step 6: Final answer
    x = 436,039.13

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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.