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Finding the Fourth Proportional to 276,130.80, 414,196.20 and 231,807.60

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Solution

The fourth proportional to 276,130.80, 414,196.20 and 231,807.60 is: 347,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,130.80 : 414,196.20 = 231,807.60 : x
  2. Step 2: Convert to fraction form
    276,130.80/414,196.20 = 231,807.60/x
  3. Step 3: Cross multiply
    276,130.80x = 414,196.20 × 231,807.60
  4. Step 4: Simplify right side
    276,130.80x = 96,013,827,051.12
  5. Step 5: Solve for x
    x = 96,013,827,051.12/276,130.80
  6. Step 6: Final answer
    x = 347,711.40

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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.