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Finding the Fourth Proportional to 512,106, 707,039.12 and 458,298.48

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Solution

The fourth proportional to 512,106, 707,039.12 and 458,298.48 is: 632,749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,106 : 707,039.12 = 458,298.48 : x
  2. Step 2: Convert to fraction form
    512,106/707,039.12 = 458,298.48/x
  3. Step 3: Cross multiply
    512,106x = 707,039.12 × 458,298.48
  4. Step 4: Simplify right side
    512,106x = 324,034,953,996.54
  5. Step 5: Solve for x
    x = 324,034,953,996.54/512,106
  6. Step 6: Final answer
    x = 632,749.77

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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.