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Finding the Fourth Proportional to 512,008.80, 768,013.20 and 157,077.60

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Solution

The fourth proportional to 512,008.80, 768,013.20 and 157,077.60 is: 235,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,008.80 : 768,013.20 = 157,077.60 : x
  2. Step 2: Convert to fraction form
    512,008.80/768,013.20 = 157,077.60/x
  3. Step 3: Cross multiply
    512,008.80x = 768,013.20 × 157,077.60
  4. Step 4: Simplify right side
    512,008.80x = 120,637,670,224.32
  5. Step 5: Solve for x
    x = 120,637,670,224.32/512,008.80
  6. Step 6: Final answer
    x = 235,616.40

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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.