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Finding the Fourth Proportional to 512,454.60, 768,754.80 and 157,415.40

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Solution

The fourth proportional to 512,454.60, 768,754.80 and 157,415.40 is: 236,145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,454.60 : 768,754.80 = 157,415.40 : x
  2. Step 2: Convert to fraction form
    512,454.60/768,754.80 = 157,415.40/x
  3. Step 3: Cross multiply
    512,454.60x = 768,754.80 × 157,415.40
  4. Step 4: Simplify right side
    512,454.60x = 121,013,844,343.92
  5. Step 5: Solve for x
    x = 121,013,844,343.92/512,454.60
  6. Step 6: Final answer
    x = 236,145.49

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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.