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Finding the Fourth Proportional to 512,978.40, 768,085.20 and 371,973.60

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Solution

The fourth proportional to 512,978.40, 768,085.20 and 371,973.60 is: 556,957.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,978.40 : 768,085.20 = 371,973.60 : x
  2. Step 2: Convert to fraction form
    512,978.40/768,085.20 = 371,973.60/x
  3. Step 3: Cross multiply
    512,978.40x = 768,085.20 × 371,973.60
  4. Step 4: Simplify right side
    512,978.40x = 285,707,416,950.72
  5. Step 5: Solve for x
    x = 285,707,416,950.72/512,978.40
  6. Step 6: Final answer
    x = 556,957.99

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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.