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Finding the Fourth Proportional to 512,962.40, 768,277.20 and 324,005.60

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Solution

The fourth proportional to 512,962.40, 768,277.20 and 324,005.60 is: 485,271.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,962.40 : 768,277.20 = 324,005.60 : x
  2. Step 2: Convert to fraction form
    512,962.40/768,277.20 = 324,005.60/x
  3. Step 3: Cross multiply
    512,962.40x = 768,277.20 × 324,005.60
  4. Step 4: Simplify right side
    512,962.40x = 248,926,115,152.32
  5. Step 5: Solve for x
    x = 248,926,115,152.32/512,962.40
  6. Step 6: Final answer
    x = 485,271.66

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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.