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Finding the Fourth Proportional to 512,341.17, 707,090.79 and 426,148.09

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Solution

The fourth proportional to 512,341.17, 707,090.79 and 426,148.09 is: 588,134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,341.17 : 707,090.79 = 426,148.09 : x
  2. Step 2: Convert to fraction form
    512,341.17/707,090.79 = 426,148.09/x
  3. Step 3: Cross multiply
    512,341.17x = 707,090.79 × 426,148.09
  4. Step 4: Simplify right side
    512,341.17x = 301,325,388,246.88
  5. Step 5: Solve for x
    x = 301,325,388,246.88/512,341.17
  6. Step 6: Final answer
    x = 588,134.24

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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.