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Finding the Fourth Proportional to 630,205.52, 945,031.80 and 230,742.80

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Solution

The fourth proportional to 630,205.52, 945,031.80 and 230,742.80 is: 346,012.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,205.52 : 945,031.80 = 230,742.80 : x
  2. Step 2: Convert to fraction form
    630,205.52/945,031.80 = 230,742.80/x
  3. Step 3: Cross multiply
    630,205.52x = 945,031.80 × 230,742.80
  4. Step 4: Simplify right side
    630,205.52x = 218,059,283,621.04
  5. Step 5: Solve for x
    x = 218,059,283,621.04/630,205.52
  6. Step 6: Final answer
    x = 346,012.97

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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.