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Finding the Fourth Proportional to 388,978.08, 536,782.32 and 219,208.80

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Solution

The fourth proportional to 388,978.08, 536,782.32 and 219,208.80 is: 302,503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,978.08 : 536,782.32 = 219,208.80 : x
  2. Step 2: Convert to fraction form
    388,978.08/536,782.32 = 219,208.80/x
  3. Step 3: Cross multiply
    388,978.08x = 536,782.32 × 219,208.80
  4. Step 4: Simplify right side
    388,978.08x = 117,667,408,228.42
  5. Step 5: Solve for x
    x = 117,667,408,228.42/388,978.08
  6. Step 6: Final answer
    x = 302,503.96

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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.