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Finding the Fourth Proportional to 512,478.89, 707,210.05 and 283,022.80

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Solution

The fourth proportional to 512,478.89, 707,210.05 and 283,022.80 is: 390,565.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,478.89 : 707,210.05 = 283,022.80 : x
  2. Step 2: Convert to fraction form
    512,478.89/707,210.05 = 283,022.80/x
  3. Step 3: Cross multiply
    512,478.89x = 707,210.05 × 283,022.80
  4. Step 4: Simplify right side
    512,478.89x = 200,156,568,539.14
  5. Step 5: Solve for x
    x = 200,156,568,539.14/512,478.89
  6. Step 6: Final answer
    x = 390,565.49

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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.