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Finding the Fourth Proportional to 557,634.68, 769,533.95 and 315,963.38

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Solution

The fourth proportional to 557,634.68, 769,533.95 and 315,963.38 is: 436,028.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,634.68 : 769,533.95 = 315,963.38 : x
  2. Step 2: Convert to fraction form
    557,634.68/769,533.95 = 315,963.38/x
  3. Step 3: Cross multiply
    557,634.68x = 769,533.95 × 315,963.38
  4. Step 4: Simplify right side
    557,634.68x = 243,144,550,580.49
  5. Step 5: Solve for x
    x = 243,144,550,580.49/557,634.68
  6. Step 6: Final answer
    x = 436,028.39

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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.