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Finding the Fourth Proportional to 512,421.76, 707,149.02 and 282,994.52

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Solution

The fourth proportional to 512,421.76, 707,149.02 and 282,994.52 is: 390,536.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,421.76 : 707,149.02 = 282,994.52 : x
  2. Step 2: Convert to fraction form
    512,421.76/707,149.02 = 282,994.52/x
  3. Step 3: Cross multiply
    512,421.76x = 707,149.02 × 282,994.52
  4. Step 4: Simplify right side
    512,421.76x = 200,119,297,483.37
  5. Step 5: Solve for x
    x = 200,119,297,483.37/512,421.76
  6. Step 6: Final answer
    x = 390,536.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.