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Finding the Fourth Proportional to 512,595.32, 707,378.68 and 283,168.36

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Solution

The fourth proportional to 512,595.32, 707,378.68 and 283,168.36 is: 390,770.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,595.32 : 707,378.68 = 283,168.36 : x
  2. Step 2: Convert to fraction form
    512,595.32/707,378.68 = 283,168.36/x
  3. Step 3: Cross multiply
    512,595.32x = 707,378.68 × 283,168.36
  4. Step 4: Simplify right side
    512,595.32x = 200,307,260,714.57
  5. Step 5: Solve for x
    x = 200,307,260,714.57/512,595.32
  6. Step 6: Final answer
    x = 390,770.76

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1.5x scale

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.