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Finding the Fourth Proportional to 384,907.75, 577,393.93 and 141,815

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Solution

The fourth proportional to 384,907.75, 577,393.93 and 141,815 is: 212,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,907.75 : 577,393.93 = 141,815 : x
  2. Step 2: Convert to fraction form
    384,907.75/577,393.93 = 141,815/x
  3. Step 3: Cross multiply
    384,907.75x = 577,393.93 × 141,815
  4. Step 4: Simplify right side
    384,907.75x = 81,883,120,182.95
  5. Step 5: Solve for x
    x = 81,883,120,182.95/384,907.75
  6. Step 6: Final answer
    x = 212,734.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.