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Finding the Fourth Proportional to 230,978.80, 346,468.20 and 141,943.60

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Solution

The fourth proportional to 230,978.80, 346,468.20 and 141,943.60 is: 212,915.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,978.80 : 346,468.20 = 141,943.60 : x
  2. Step 2: Convert to fraction form
    230,978.80/346,468.20 = 141,943.60/x
  3. Step 3: Cross multiply
    230,978.80x = 346,468.20 × 141,943.60
  4. Step 4: Simplify right side
    230,978.80x = 49,178,943,593.52
  5. Step 5: Solve for x
    x = 49,178,943,593.52/230,978.80
  6. Step 6: Final answer
    x = 212,915.40

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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.