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Finding the Fourth Proportional to 512,231.20, 768,346.80 and 302,106.40

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Solution

The fourth proportional to 512,231.20, 768,346.80 and 302,106.40 is: 453,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,231.20 : 768,346.80 = 302,106.40 : x
  2. Step 2: Convert to fraction form
    512,231.20/768,346.80 = 302,106.40/x
  3. Step 3: Cross multiply
    512,231.20x = 768,346.80 × 302,106.40
  4. Step 4: Simplify right side
    512,231.20x = 232,122,485,699.52
  5. Step 5: Solve for x
    x = 232,122,485,699.52/512,231.20
  6. Step 6: Final answer
    x = 453,159.60

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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.