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Finding the Fourth Proportional to 280,978.80, 421,468.20 and 186,500.40

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Solution

The fourth proportional to 280,978.80, 421,468.20 and 186,500.40 is: 279,750.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,978.80 : 421,468.20 = 186,500.40 : x
  2. Step 2: Convert to fraction form
    280,978.80/421,468.20 = 186,500.40/x
  3. Step 3: Cross multiply
    280,978.80x = 421,468.20 × 186,500.40
  4. Step 4: Simplify right side
    280,978.80x = 78,603,987,887.28
  5. Step 5: Solve for x
    x = 78,603,987,887.28/280,978.80
  6. Step 6: Final answer
    x = 279,750.60

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1.5x scale

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.