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Finding the Fourth Proportional to 512,736.09, 707,590.07 and 283,308.16

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Solution

The fourth proportional to 512,736.09, 707,590.07 and 283,308.16 is: 390,973.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,736.09 : 707,590.07 = 283,308.16 : x
  2. Step 2: Convert to fraction form
    512,736.09/707,590.07 = 283,308.16/x
  3. Step 3: Cross multiply
    512,736.09x = 707,590.07 × 283,308.16
  4. Step 4: Simplify right side
    512,736.09x = 200,466,037,228.02
  5. Step 5: Solve for x
    x = 200,466,037,228.02/512,736.09
  6. Step 6: Final answer
    x = 390,973.14

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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.