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Finding the Fourth Proportional to 242,826.40, 364,239.60 and 76,614.40

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Solution

The fourth proportional to 242,826.40, 364,239.60 and 76,614.40 is: 114,921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,826.40 : 364,239.60 = 76,614.40 : x
  2. Step 2: Convert to fraction form
    242,826.40/364,239.60 = 76,614.40/x
  3. Step 3: Cross multiply
    242,826.40x = 364,239.60 × 76,614.40
  4. Step 4: Simplify right side
    242,826.40x = 27,905,998,410.24
  5. Step 5: Solve for x
    x = 27,905,998,410.24/242,826.40
  6. Step 6: Final answer
    x = 114,921.60

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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.