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Finding the Fourth Proportional to 538,143.20, 807,214.80 and 512,338.40

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Solution

The fourth proportional to 538,143.20, 807,214.80 and 512,338.40 is: 768,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,143.20 : 807,214.80 = 512,338.40 : x
  2. Step 2: Convert to fraction form
    538,143.20/807,214.80 = 512,338.40/x
  3. Step 3: Cross multiply
    538,143.20x = 807,214.80 × 512,338.40
  4. Step 4: Simplify right side
    538,143.20x = 413,567,139,088.32
  5. Step 5: Solve for x
    x = 413,567,139,088.32/538,143.20
  6. Step 6: Final answer
    x = 768,507.60

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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.