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Finding the Fourth Proportional to 557,039.80, 768,813.10 and 315,336.12

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Solution

The fourth proportional to 557,039.80, 768,813.10 and 315,336.12 is: 435,219.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,039.80 : 768,813.10 = 315,336.12 : x
  2. Step 2: Convert to fraction form
    557,039.80/768,813.10 = 315,336.12/x
  3. Step 3: Cross multiply
    557,039.80x = 768,813.10 × 315,336.12
  4. Step 4: Simplify right side
    557,039.80x = 242,434,539,959.17
  5. Step 5: Solve for x
    x = 242,434,539,959.17/557,039.80
  6. Step 6: Final answer
    x = 435,219.42

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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.