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Finding the Fourth Proportional to 512,415.60, 768,623.40 and 157,429.05

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Solution

The fourth proportional to 512,415.60, 768,623.40 and 157,429.05 is: 236,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,415.60 : 768,623.40 = 157,429.05 : x
  2. Step 2: Convert to fraction form
    512,415.60/768,623.40 = 157,429.05/x
  3. Step 3: Cross multiply
    512,415.60x = 768,623.40 × 157,429.05
  4. Step 4: Simplify right side
    512,415.60x = 121,003,651,669.77
  5. Step 5: Solve for x
    x = 121,003,651,669.77/512,415.60
  6. Step 6: Final answer
    x = 236,143.58

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Similar ratio
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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.